2131327200 has 144 divisors (see below), whose sum is σ = 7239286656. Its totient is φ = 543628800.

The previous prime is 2131327157. The next prime is 2131327229. The reversal of 2131327200 is 27231312.

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, 35895 + ... + 74505.

It is an arithmetic number, because the mean of its divisors is an integer number (50272824).

Almost surely, 2^2131327200 is an apocalyptic number.

2131327200 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 2131327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619643328).

2131327200 is an abundant number, since it is smaller than the sum of its proper divisors (5107959456).

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

2131327200 is a wasteful number, since it uses less digits than its factorization.

2131327200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38657 (or 38644 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 2131327200 is about 46166.2993968544. The cubic root of 2131327200 is about 1286.9155319966.

Adding to 2131327200 its reverse (27231312), we get a palindrome (2158558512).

The spelling of 2131327200 in words is "two billion, one hundred thirty-one million, three hundred twenty-seven thousand, two hundred".