2153640400 has 30 divisors (see below), whose sum is σ = 5174122022. Its totient is φ = 861456000.

The previous prime is 2153640343. The next prime is 2153640413. The reversal of 2153640400 is 40463512.

It can be written as a sum of positive squares in 3 ways, for example, as 263477824 + 1890162576 = 16232^2 + 43476^2 .

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 5 ways as a sum of consecutive naturals, for example, 2691651 + ... + 2692450.

Almost surely, 2^2153640400 is an apocalyptic number.

2153640400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153640400 is an abundant number, since it is smaller than the sum of its proper divisors (3020481622).

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

2153640400 is a wasteful number, since it uses less digits than its factorization.

2153640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384119 (or 5384108 counting only the distinct ones).

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

The square root of 2153640400 is about 46407.3313173684. The cubic root of 2153640400 is about 1291.3909240505.

The spelling of 2153640400 in words is "two billion, one hundred fifty-three million, six hundred forty thousand, four hundred".