2157854400 has 252 divisors, whose sum is σ = 8260203952. Its totient is φ = 531118080.

The previous prime is 2157854389. The next prime is 2157854437. The reversal of 2157854400 is 44587512.

It is a super-2 number, since 2×2157854400² = 9312671223198720000, which contains 22 as substring.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 181437 + ... + 192963.

Almost surely, 2^2157854400 is an apocalyptic number.

2157854400 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 2157854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130101976).

2157854400 is an abundant number, since it is smaller than the sum of its proper divisors (6102349552).

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

2157854400 is a wasteful number, since it uses less digits than its factorization.

2157854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11568 (or 11550 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2157854400 is about 46452.7114386233. The cubic root of 2157854400 is about 1292.2326578621.

The spelling of 2157854400 in words is "two billion, one hundred fifty-seven million, eight hundred fifty-four thousand, four hundred".