2113286400 has 324 divisors, whose sum is σ = 7957251120. Its totient is φ = 533606400.

The previous prime is 2113286389. The next prime is 2113286401. The reversal of 2113286400 is 46823112.

2113286400 is a `hidden beast` number, since 2 + 1 + 13 + 2 + 8 + 640 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2113286401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1093435 + ... + 1095365.

Almost surely, 2^2113286400 is an apocalyptic number.

2113286400 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 2113286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978625560).

2113286400 is an abundant number, since it is smaller than the sum of its proper divisors (5843964720).

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

2113286400 is a wasteful number, since it uses less digits than its factorization.

2113286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2113286400 is about 45970.4948853066. The cubic root of 2113286400 is about 1283.2741697955.

The spelling of 2113286400 in words is "two billion, one hundred thirteen million, two hundred eighty-six thousand, four hundred".