2154306400 has 72 divisors (see below), whose sum is σ = 5266772280. Its totient is φ = 860482560.

The previous prime is 2154306359. The next prime is 2154306421. The reversal of 2154306400 is 46034512.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 724116 + ... + 727084.

It is an arithmetic number, because the mean of its divisors is an integer number (73149615).

Almost surely, 2^2154306400 is an apocalyptic number.

2154306400 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 2154306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633386140).

2154306400 is an abundant number, since it is smaller than the sum of its proper divisors (3112465880).

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

2154306400 is a wasteful number, since it uses less digits than its factorization.

2154306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2154306400 is about 46414.5063530789. The cubic root of 2154306400 is about 1291.5240285548.

The spelling of 2154306400 in words is "two billion, one hundred fifty-four million, three hundred six thousand, four hundred".