2113022400 has 168 divisors, whose sum is σ = 6984552960. Its totient is φ = 559242240.

The previous prime is 2113022399. The next prime is 2113022423. The reversal of 2113022400 is 42203112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2113022400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665617 + ... + 668783.

It is an arithmetic number, because the mean of its divisors is an integer number (41574720).

Almost surely, 2^2113022400 is an apocalyptic number.

2113022400 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 2113022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492276480).

2113022400 is an abundant number, since it is smaller than the sum of its proper divisors (4871530560).

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

2113022400 is a wasteful number, since it uses less digits than its factorization.

2113022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2113022400 is about 45967.6233886417. The cubic root of 2113022400 is about 1283.2207303612.

Adding to 2113022400 its reverse (42203112), we get a palindrome (2155225512).

The spelling of 2113022400 in words is "two billion, one hundred thirteen million, twenty-two thousand, four hundred".