2256553400 has 48 divisors (see below), whose sum is σ = 5258536200. Its totient is φ = 900548480.

The previous prime is 2256553379. The next prime is 2256553427. The reversal of 2256553400 is 43556522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75866 + ... + 101334.

Almost surely, 2^2256553400 is an apocalyptic number.

2256553400 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 2256553400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629268100).

2256553400 is an abundant number, since it is smaller than the sum of its proper divisors (3001982800).

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

2256553400 is a wasteful number, since it uses less digits than its factorization.

2256553400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25928 (or 25919 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 2256553400 is about 47503.1935768533. The cubic root of 2256553400 is about 1311.6416688857.

The spelling of 2256553400 in words is "two billion, two hundred fifty-six million, five hundred fifty-three thousand, four hundred".