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2540085030 = 2325721673449
BaseRepresentation
bin1001011101100110…
…1001111100100110
320120000121200121100
42113121221330212
520200230210110
61100014500530
7116642236500
oct22731517446
96500550540
102540085030
1110938a252a
125aa804746
133163258c2
141a14c6d70
15ecee7bc0
hex97669f26

2540085030 has 144 divisors (see below), whose sum is σ = 7730704800. Its totient is φ = 576946944.

The previous prime is 2540085029. The next prime is 2540085043. The reversal of 2540085030 is 305800452.

It is a junction number, because it is equal to n+sod(n) for n = 2540084985 and 2540085003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 734746 + ... + 738194.

It is an arithmetic number, because the mean of its divisors is an integer number (53685450).

Almost surely, 22540085030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540085030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865352400).

2540085030 is an abundant number, since it is smaller than the sum of its proper divisors (5190619770).

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

2540085030 is a wasteful number, since it uses less digits than its factorization.

2540085030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2540085030 is about 50399.2562445122. The cubic root of 2540085030 is about 1364.4242147497.

Adding to 2540085030 its reverse (305800452), we get a palindrome (2845885482).

The spelling of 2540085030 in words is "two billion, five hundred forty million, eighty-five thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 167 210 245 294 315 334 441 490 501 630 735 835 882 1002 1169 1470 1503 1670 2205 2338 2505 3006 3449 3507 4410 5010 5845 6898 7014 7515 8183 10347 10521 11690 15030 16366 17245 17535 20694 21042 24143 24549 31041 34490 35070 40915 48286 49098 51735 52605 62082 72429 73647 81830 103470 105210 120715 122745 144858 147294 155205 169001 217287 241430 245490 310410 338002 362145 368235 434574 507003 575983 724290 736470 845005 1014006 1086435 1151966 1521009 1690010 1727949 2172870 2535015 2879915 3042018 3455898 4031881 5070030 5183847 5759830 7605045 8063762 8639745 10367694 12095643 15210090 17279490 20159405 24191286 25919235 28223167 36286929 40318810 51838470 56446334 60478215 72573858 84669501 120956430 141115835 169339002 181434645 254008503 282231670 362869290 423347505 508017006 846695010 1270042515 2540085030