2132112400 has 120 divisors (see below), whose sum is σ = 5606212608. Its totient is φ = 772800000.

The previous prime is 2132112343. The next prime is 2132112421. The reversal of 2132112400 is 42112312.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1851825 + ... + 1852975.

Almost surely, 2^2132112400 is an apocalyptic number.

2132112400 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 2132112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803106304).

2132112400 is an abundant number, since it is smaller than the sum of its proper divisors (3474100208).

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

2132112400 is a wasteful number, since it uses less digits than its factorization.

2132112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2132112400 is about 46174.8026525290. The cubic root of 2132112400 is about 1287.0735496566.

Adding to 2132112400 its reverse (42112312), we get a palindrome (2174224712).

The spelling of 2132112400 in words is "two billion, one hundred thirty-two million, one hundred twelve thousand, four hundred".