2256764130600 has 192 divisors, whose sum is σ = 8033288931840. Its totient is φ = 513386899200.

The previous prime is 2256764130581. The next prime is 2256764130619. The reversal of 2256764130600 is 60314676522.

2256764130600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2256764130581) and next prime (2256764130619).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387082 + ... + 2159481.

It is an arithmetic number, because the mean of its divisors is an integer number (41840046520).

Almost surely, 2^{2256764130600} is an apocalyptic number.

2256764130600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256764130600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016644465920).

2256764130600 is an abundant number, since it is smaller than the sum of its proper divisors (5776524801240).

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

2256764130600 is a wasteful number, since it uses less digits than its factorization.

2256764130600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546800 (or 2546791 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 2256764130600 in words is "two trillion, two hundred fifty-six billion, seven hundred sixty-four million, one hundred thirty thousand, six hundred".