2113511400 has 1536 divisors, whose sum is σ = 10799308800. Its totient is φ = 364953600.

The previous prime is 2113511381. The next prime is 2113511431. The reversal of 2113511400 is 41153112.

2113511400 is a `hidden beast` number, since 2 + 113 + 511 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 91891789 + ... + 91891811.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2^2113511400 is an apocalyptic number.

2113511400 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 2113511400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399654400).

2113511400 is an abundant number, since it is smaller than the sum of its proper divisors (8685797400).

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

2113511400 is a wasteful number, since it uses less digits than its factorization.

2113511400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2113511400 is about 45972.9420420316. The cubic root of 2113511400 is about 1283.3197112551.

Adding to 2113511400 its reverse (41153112), we get a palindrome (2154664512).

The spelling of 2113511400 in words is "two billion, one hundred thirteen million, five hundred eleven thousand, four hundred".