2256575085300 has 144 divisors (see below), whose sum is σ = 6928487798400. Its totient is φ = 565094154240.

The previous prime is 2256575085299. The next prime is 2256575085311. The reversal of 2256575085300 is 35805756522.

It is a super-2 number, since 2×2256575085300² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2256575085300.

It is a congruent number.

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, 1797177 + ... + 2782623.

It is an arithmetic number, because the mean of its divisors is an integer number (48114498600).

Almost surely, 2^{2256575085300} is an apocalyptic number.

2256575085300 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 2256575085300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464243899200).

2256575085300 is an abundant number, since it is smaller than the sum of its proper divisors (4671912713100).

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

2256575085300 is a wasteful number, since it uses less digits than its factorization.

2256575085300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985930 (or 985923 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 48.

The spelling of 2256575085300 in words is "two trillion, two hundred fifty-six billion, five hundred seventy-five million, eighty-five thousand, three hundred".