2158318400 has 168 divisors, whose sum is σ = 6129625536. Its totient is φ = 732672000.

The previous prime is 2158318399. The next prime is 2158318423. The reversal of 2158318400 is 48138512.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1197500 + ... + 1199300.

Almost surely, 2^2158318400 is an apocalyptic number.

2158318400 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 2158318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064812768).

2158318400 is an abundant number, since it is smaller than the sum of its proper divisors (3971307136).

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

2158318400 is a wasteful number, since it uses less digits than its factorization.

2158318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 2158318400 is about 46457.7054965051. The cubic root of 2158318400 is about 1292.3252734686.

The spelling of 2158318400 in words is "two billion, one hundred fifty-eight million, three hundred eighteen thousand, four hundred".