2132523120 has 720 divisors, whose sum is σ = 8847156960. Its totient is φ = 422682624.

The previous prime is 2132523109. The next prime is 2132523179. The reversal of 2132523120 is 213252312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57635742 + ... + 57635778.

It is an arithmetic number, because the mean of its divisors is an integer number (12287718).

Almost surely, 2^2132523120 is an apocalyptic number.

2132523120 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 2132523120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423578480).

2132523120 is an abundant number, since it is smaller than the sum of its proper divisors (6714633840).

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

2132523120 is a wasteful number, since it uses less digits than its factorization.

2132523120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2132523120 is about 46179.2498856359. The cubic root of 2132523120 is about 1287.1561895943.

Adding to 2132523120 its reverse (213252312), we get a palindrome (2345775432).

The spelling of 2132523120 in words is "two billion, one hundred thirty-two million, five hundred twenty-three thousand, one hundred twenty".