2256719400 has 768 divisors, whose sum is σ = 9299404800. Its totient is φ = 497664000.

The previous prime is 2256719351. The next prime is 2256719401. The reversal of 2256719400 is 49176522.

2256719400 is a `hidden beast` number, since 2 + 2 + 567 + 1 + 94 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256719401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36995370 + ... + 36995430.

It is an arithmetic number, because the mean of its divisors is an integer number (12108600).

Almost surely, 2^2256719400 is an apocalyptic number.

2256719400 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 2256719400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649702400).

2256719400 is an abundant number, since it is smaller than the sum of its proper divisors (7042685400).

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

2256719400 is a wasteful number, since it uses less digits than its factorization.

2256719400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2256719400 is about 47504.9407956688. The cubic root of 2256719400 is about 1311.6738310876.

The spelling of 2256719400 in words is "two billion, two hundred fifty-six million, seven hundred nineteen thousand, four hundred".