2256126400 has 84 divisors (see below), whose sum is σ = 6056208360. Its totient is φ = 820403200.

The previous prime is 2256126377. The next prime is 2256126407. The reversal of 2256126400 is 46216522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256126407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46495 + ... + 81694.

Almost surely, 2^2256126400 is an apocalyptic number.

2256126400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256126400 is an abundant number, since it is smaller than the sum of its proper divisors (3800081960).

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

2256126400 is a wasteful number, since it uses less digits than its factorization.

2256126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128222 (or 128207 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2256126400 is about 47498.6989295496. The cubic root of 2256126400 is about 1311.5589311549.

The spelling of 2256126400 in words is "two billion, two hundred fifty-six million, one hundred twenty-six thousand, four hundred".