2256254000 has 640 divisors, whose sum is σ = 7799500800. Its totient is φ = 620928000.

The previous prime is 2256253921. The next prime is 2256254029. The reversal of 2256254000 is 4526522.

It is a super-2 number, since 2×2256254000² = 10181364225032000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98097989 + ... + 98098011.

It is an arithmetic number, because the mean of its divisors is an integer number (12186720).

Almost surely, 2^2256254000 is an apocalyptic number.

2256254000 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 2256254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899750400).

2256254000 is an abundant number, since it is smaller than the sum of its proper divisors (5543246800).

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

2256254000 is a wasteful number, since it uses less digits than its factorization.

2256254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2256254000 is about 47500.0421052445. The cubic root of 2256254000 is about 1311.5836566851.

The spelling of 2256254000 in words is "two billion, two hundred fifty-six million, two hundred fifty-four thousand".