2413332400 has 60 divisors (see below), whose sum is σ = 5954771152. Its totient is φ = 939237120.

The previous prime is 2413332391. The next prime is 2413332413. The reversal of 2413332400 is 42333142.

It is a happy number.

2413332400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 66732 + ... + 96331.

Almost surely, 2^2413332400 is an apocalyptic number.

2413332400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413332400 is an abundant number, since it is smaller than the sum of its proper divisors (3541438752).

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

2413332400 is a wasteful number, since it uses less digits than its factorization.

2413332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163118 (or 163107 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2413332400 is about 49125.6796390645. The cubic root of 2413332400 is about 1341.3405312161.

Adding to 2413332400 its reverse (42333142), we get a palindrome (2455665542).

The spelling of 2413332400 in words is "two billion, four hundred thirteen million, three hundred thirty-two thousand, four hundred".