2113322400 has 432 divisors, whose sum is σ = 8837809344. Its totient is φ = 482734080.

The previous prime is 2113322399. The next prime is 2113322417. The reversal of 2113322400 is 42233112.

2113322400 is a `hidden beast` number, since 211 + 33 + 22 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×2113322400² = 8932263132683520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1360024 + ... + 1361576.

It is an arithmetic number, because the mean of its divisors is an integer number (20457892).

Almost surely, 2^2113322400 is an apocalyptic number.

2113322400 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 2113322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418904672).

2113322400 is an abundant number, since it is smaller than the sum of its proper divisors (6724486944).

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

2113322400 is a wasteful number, since it uses less digits than its factorization.

2113322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2113322400 is about 45970.8864391367. The cubic root of 2113322400 is about 1283.2814566463.

Adding to 2113322400 its reverse (42233112), we get a palindrome (2155555512).

The spelling of 2113322400 in words is "two billion, one hundred thirteen million, three hundred twenty-two thousand, four hundred".