2156358400 has 216 divisors, whose sum is σ = 6164049920. Its totient is φ = 731566080.

The previous prime is 2156358377. The next prime is 2156358401. The reversal of 2156358400 is 48536512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2156358401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5689411 + ... + 5689789.

Almost surely, 2^2156358400 is an apocalyptic number.

2156358400 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 2156358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082024960).

2156358400 is an abundant number, since it is smaller than the sum of its proper divisors (4007691520).

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

2156358400 is a wasteful number, since it uses less digits than its factorization.

2156358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 2156358400 is about 46436.6062498112. The cubic root of 2156358400 is about 1291.9339619331.

The spelling of 2156358400 in words is "two billion, one hundred fifty-six million, three hundred fifty-eight thousand, four hundred".