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2540054000 = 245311263439
BaseRepresentation
bin1001011101100110…
…0010010111110000
320120000120010001002
42113121202113300
520200223212000
61100014101132
7116642050151
oct22731422760
96500503032
102540054000
111093881190
125aa7aa7a8
13316314743
141a14b9928
15ecedd8d5
hex976625f0

2540054000 has 160 divisors (see below), whose sum is σ = 6740997120. Its totient is φ = 918048000.

The previous prime is 2540053973. The next prime is 2540054029. The reversal of 2540054000 is 4500452.

It is a happy number.

2540054000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5785781 + ... + 5786219.

It is an arithmetic number, because the mean of its divisors is an integer number (42131232).

Almost surely, 22540054000 is an apocalyptic number.

2540054000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370498560).

2540054000 is an abundant number, since it is smaller than the sum of its proper divisors (4200943120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2540054000 is a wasteful number, since it uses less digits than its factorization.

2540054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2540054000 is about 50398.9484017276. The cubic root of 2540054000 is about 1364.4186587342.

Adding to 2540054000 its reverse (4500452), we get a palindrome (2544554452).

The spelling of 2540054000 in words is "two billion, five hundred forty million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 263 275 400 439 440 500 526 550 878 880 1000 1052 1100 1315 1375 1756 2000 2104 2195 2200 2630 2750 2893 3512 4208 4390 4400 4829 5260 5500 5786 6575 7024 8780 9658 10520 10975 11000 11572 13150 14465 17560 19316 21040 21950 22000 23144 24145 26300 28930 32875 35120 38632 43900 46288 48290 52600 54875 57860 65750 72325 77264 87800 96580 105200 109750 115457 115720 120725 131500 144650 175600 193160 219500 230914 231440 241450 263000 289300 361625 386320 439000 461828 482900 526000 577285 578600 603625 723250 878000 923656 965800 1154570 1157200 1207250 1270027 1446500 1847312 1931600 2309140 2414500 2540054 2886425 2893000 4618280 4829000 5080108 5772850 5786000 6350135 9236560 9658000 10160216 11545700 12700270 14432125 20320432 23091400 25400540 28864250 31750675 46182800 50801080 57728500 63501350 101602160 115457000 127002700 158753375 230914000 254005400 317506750 508010800 635013500 1270027000 2540054000