2113614400 has 84 divisors (see below), whose sum is σ = 5210698240. Its totient is φ = 843840000.

The previous prime is 2113614343. The next prime is 2113614409. The reversal of 2113614400 is 44163112.

It is not an unprimeable number, because it can be changed into a prime (2113614409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1200721 + ... + 1202479.

Almost surely, 2^2113614400 is an apocalyptic number.

2113614400 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 2113614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605349120).

2113614400 is an abundant number, since it is smaller than the sum of its proper divisors (3097083840).

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

2113614400 is a wasteful number, since it uses less digits than its factorization.

2113614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2113614400 is about 45974.0622525354. The cubic root of 2113614400 is about 1283.3405580448.

Adding to 2113614400 its reverse (44163112), we get a palindrome (2157777512).

The spelling of 2113614400 in words is "two billion, one hundred thirteen million, six hundred fourteen thousand, four hundred".