2153952400 has 30 divisors (see below), whose sum is σ = 5174871602. Its totient is φ = 861580800.

The previous prime is 2153952349. The next prime is 2153952401. The reversal of 2153952400 is 42593512.

It can be written as a sum of positive squares in 3 ways, for example, as 648822784 + 1505129616 = 25472^2 + 38796^2 .

It is not an unprimeable number, because it can be changed into a prime (2153952401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2692041 + ... + 2692840.

Almost surely, 2^2153952400 is an apocalyptic number.

2153952400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153952400 is an abundant number, since it is smaller than the sum of its proper divisors (3020919202).

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

2153952400 is a wasteful number, since it uses less digits than its factorization.

2153952400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384899 (or 5384888 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 2153952400 is about 46410.6927334639. The cubic root of 2153952400 is about 1291.4532827298.

The spelling of 2153952400 in words is "two billion, one hundred fifty-three million, nine hundred fifty-two thousand, four hundred".