2256256760100 has 72 divisors (see below), whose sum is σ = 7460689027008. Its totient is φ = 515715830400.

The previous prime is 2256256760081. The next prime is 2256256760101. The reversal of 2256256760100 is 10676526522.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2256256760101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537201891 + ... + 537206090.

Almost surely, 2^{2256256760100} is an apocalyptic number.

2256256760100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256256760100 is an abundant number, since it is smaller than the sum of its proper divisors (5204432266908).

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

2256256760100 is a wasteful number, since it uses less digits than its factorization.

2256256760100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074408005 (or 1074407998 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 2256256760100 in words is "two trillion, two hundred fifty-six billion, two hundred fifty-six million, seven hundred sixty thousand, one hundred".