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2540119540 = 2257233125447
BaseRepresentation
bin1001011101100111…
…0010010111110100
320120000200102221111
42113121302113310
520200232311130
61100015324404
7116642442220
oct22731622764
96500612844
102540119540
111093916452
125aa820704
1331633851a
141a14d5780
15ed00302a
hex976725f4

2540119540 has 96 divisors (see below), whose sum is σ = 6566805504. Its totient is φ = 806129280.

The previous prime is 2540119537. The next prime is 2540119553. The reversal of 2540119540 is 459110452.

It is a super-3 number, since 3×25401195403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 87097 + ... + 112543.

It is an arithmetic number, because the mean of its divisors is an integer number (68404224).

Almost surely, 22540119540 is an apocalyptic number.

2540119540 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 2540119540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283402752).

2540119540 is an abundant number, since it is smaller than the sum of its proper divisors (4026685964).

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

2540119540 is a wasteful number, since it uses less digits than its factorization.

2540119540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25517 (or 25515 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 2540119540 is about 50399.5986095128. The cubic root of 2540119540 is about 1364.4303938167.

Adding to 2540119540 its reverse (459110452), we get a palindrome (2999229992).

The spelling of 2540119540 in words is "two billion, five hundred forty million, one hundred nineteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 31 35 46 62 70 92 115 124 140 155 161 217 230 310 322 434 460 620 644 713 805 868 1085 1426 1610 2170 2852 3220 3565 4340 4991 7130 9982 14260 19964 24955 25447 49910 50894 99820 101788 127235 178129 254470 356258 508940 585281 712516 788857 890645 1170562 1577714 1781290 2341124 2926405 3155428 3562580 3944285 4096967 5521999 5852810 7888570 8193934 11043998 11705620 15777140 16387868 18143711 20484835 22087996 27609995 36287422 40969670 55219990 72574844 81939340 90718555 110439980 127005977 181437110 254011954 362874220 508023908 635029885 1270059770 2540119540