2152054400 has 96 divisors (see below), whose sum is σ = 5416980300. Its totient is φ = 844513280.

The previous prime is 2152054393. The next prime is 2152054447. The reversal of 2152054400 is 44502512.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 560363584 + 1591690816 = 23672^2 + 39896^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163256 + ... + 175944.

Almost surely, 2^2152054400 is an apocalyptic number.

2152054400 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 2152054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708490150).

2152054400 is an abundant number, since it is smaller than the sum of its proper divisors (3264925900).

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

2152054400 is a wasteful number, since it uses less digits than its factorization.

2152054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12766 (or 12749 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 2152054400 is about 46390.2403529018. The cubic root of 2152054400 is about 1291.0738409414.

Adding to 2152054400 its reverse (44502512), we get a palindrome (2196556912).

The spelling of 2152054400 in words is "two billion, one hundred fifty-two million, fifty-four thousand, four hundred".