2506656240 has 160 divisors (see below), whose sum is σ = 9419040000. Its totient is φ = 607668480.

The previous prime is 2506656199. The next prime is 2506656259. The reversal of 2506656240 is 426566052.

2506656240 is a `hidden beast` number, since 2 + 50 + 6 + 6 + 562 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2506656195 and 2506656204.

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, 28990 + ... + 76509.

It is an arithmetic number, because the mean of its divisors is an integer number (58869000).

Almost surely, 2^2506656240 is an apocalyptic number.

2506656240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506656240 is an abundant number, since it is smaller than the sum of its proper divisors (6912383760).

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

2506656240 is a wasteful number, since it uses less digits than its factorization.

2506656240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105532 (or 105520 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2506656240 is about 50066.5181533527. The cubic root of 2506656240 is about 1358.4122618729.

The spelling of 2506656240 in words is "two billion, five hundred six million, six hundred fifty-six thousand, two hundred forty".