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2590640240 = 245311044613
BaseRepresentation
bin1001101001101010…
…0000100001110000
320200112202011022112
42122122200201300
520301200441430
61105022224452
7121125035666
oct23232404160
96615664275
102590640240
11110a3923a1
12603725128
13323946926
141a80c6c36
15102682195
hex9a6a0870

2590640240 has 40 divisors (see below), whose sum is σ = 6217542528. Its totient is φ = 1002827520.

The previous prime is 2590640233. The next prime is 2590640257. The reversal of 2590640240 is 420460952.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×25906402402 = 13422833706214515200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2590640197 and 2590640206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 519827 + ... + 524786.

Almost surely, 22590640240 is an apocalyptic number.

2590640240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2590640240 is an abundant number, since it is smaller than the sum of its proper divisors (3626902288).

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

2590640240 is a wasteful number, since it uses less digits than its factorization.

2590640240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044657 (or 1044651 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2590640240 is about 50898.3323891854. The cubic root of 2590640240 is about 1373.4168427764.

The spelling of 2590640240 in words is "two billion, five hundred ninety million, six hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 1044613 2089226 4178452 5223065 8356904 10446130 16713808 20892260 32383003 41784520 64766006 83569040 129532012 161915015 259064024 323830030 518128048 647660060 1295320120 2590640240