2111132400 has 120 divisors (see below), whose sum is σ = 7282919280. Its totient is φ = 519659520.

The previous prime is 2111132339. The next prime is 2111132407. The reversal of 2111132400 is 42311112.

It is a tau number, because it is divible by the number of its divisors (120).

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 2111132400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111132407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52065 + ... + 83264.

It is an arithmetic number, because the mean of its divisors is an integer number (60690994).

Almost surely, 2^2111132400 is an apocalyptic number.

2111132400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111132400 is an abundant number, since it is smaller than the sum of its proper divisors (5171786880).

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

2111132400 is a wasteful number, since it uses less digits than its factorization.

2111132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135363 (or 135352 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2111132400 is about 45947.0608417992. The cubic root of 2111132400 is about 1282.8380225328.

Adding to 2111132400 its reverse (42311112), we get a palindrome (2153443512).

The spelling of 2111132400 in words is "two billion, one hundred eleven million, one hundred thirty-two thousand, four hundred".