2113414400 has 108 divisors (see below), whose sum is σ = 5305847904. Its totient is φ = 833280000.

The previous prime is 2113414343. The next prime is 2113414421. The reversal of 2113414400 is 44143112.

It is a super-2 number, since 2×2113414400² = 8933040852254720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 452075 + ... + 456725.

Almost surely, 2^2113414400 is an apocalyptic number.

2113414400 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 2113414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652923952).

2113414400 is an abundant number, since it is smaller than the sum of its proper divisors (3192433504).

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

2113414400 is an equidigital number, since it uses as much as digits as its factorization.

2113414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4748 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2113414400 is about 45971.8870615510. The cubic root of 2113414400 is about 1283.3000782222.

Adding to 2113414400 its reverse (44143112), we get a palindrome (2157557512).

The spelling of 2113414400 in words is "two billion, one hundred thirteen million, four hundred fourteen thousand, four hundred".