2253956400 has 180 divisors, whose sum is σ = 7900573200. Its totient is φ = 595008000.

The previous prime is 2253956389. The next prime is 2253956437. The reversal of 2253956400 is 46593522.

2253956400 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 9 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 360501 + ... + 366699.

Almost surely, 2^2253956400 is an apocalyptic number.

2253956400 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 2253956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950286600).

2253956400 is an abundant number, since it is smaller than the sum of its proper divisors (5646616800).

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

2253956400 is a wasteful number, since it uses less digits than its factorization.

2253956400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6324 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2253956400 is about 47475.8507032786. The cubic root of 2253956400 is about 1311.1382993075.

The spelling of 2253956400 in words is "two billion, two hundred fifty-three million, nine hundred fifty-six thousand, four hundred".