2132242400 has 144 divisors (see below), whose sum is σ = 5462931600. Its totient is φ = 811560960.

The previous prime is 2132242379. The next prime is 2132242421. The reversal of 2132242400 is 42422312.

It is an interprime number because it is at equal distance from previous prime (2132242379) and next prime (2132242421).

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 23 ways as a sum of consecutive naturals, for example, 1692971 + ... + 1694229.

It is an arithmetic number, because the mean of its divisors is an integer number (37937025).

Almost surely, 2^2132242400 is an apocalyptic number.

2132242400 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 2132242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731465800).

2132242400 is an abundant number, since it is smaller than the sum of its proper divisors (3330689200).

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

2132242400 is a wasteful number, since it uses less digits than its factorization.

2132242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2132242400 is about 46176.2103252313. The cubic root of 2132242400 is about 1287.0997077773.

Adding to 2132242400 its reverse (42422312), we get a palindrome (2174664712).

The spelling of 2132242400 in words is "two billion, one hundred thirty-two million, two hundred forty-two thousand, four hundred".