2153674400 has 36 divisors (see below), whose sum is σ = 5257659582. Its totient is φ = 861469440.

The previous prime is 2153674381. The next prime is 2153674433. The reversal of 2153674400 is 44763512.

It can be written as a sum of positive squares in 3 ways, for example, as 1498928656 + 654745744 = 38716^2 + 25588^2 .

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

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 5 ways as a sum of consecutive naturals, for example, 1345247 + ... + 1346846.

Almost surely, 2^2153674400 is an apocalyptic number.

2153674400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153674400 is an abundant number, since it is smaller than the sum of its proper divisors (3103985182).

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

2153674400 is a wasteful number, since it uses less digits than its factorization.

2153674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692113 (or 2692100 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 2153674400 is about 46407.6976373532. The cubic root of 2153674400 is about 1291.3977198400.

The spelling of 2153674400 in words is "two billion, one hundred fifty-three million, six hundred seventy-four thousand, four hundred".