2563156640 has 96 divisors (see below), whose sum is σ = 6994620864. Its totient is φ = 877219840.

The previous prime is 2563156637. The next prime is 2563156649. The reversal of 2563156640 is 466513652.

It is a happy number.

It is a super-2 number, since 2×2563156640² = 13139543922352179200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2563156594 and 2563156603.

It is not an unprimeable number, because it can be changed into a prime (2563156649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12914 + ... + 72753.

It is an arithmetic number, because the mean of its divisors is an integer number (72860634).

Almost surely, 2^2563156640 is an apocalyptic number.

2563156640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2563156640 is an abundant number, since it is smaller than the sum of its proper divisors (4431464224).

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

2563156640 is a wasteful number, since it uses less digits than its factorization.

2563156640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85710 (or 85702 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 2563156640 is about 50627.6272404702. The cubic root of 2563156640 is about 1368.5427949863.

The spelling of 2563156640 in words is "two billion, five hundred sixty-three million, one hundred fifty-six thousand, six hundred forty".