2132457120 has 144 divisors (see below), whose sum is σ = 7414577352. Its totient is φ = 557905920.

The previous prime is 2132457113. The next prime is 2132457133. The reversal of 2132457120 is 217542312.

It can be written as a sum of positive squares in 4 ways, for example, as 1873504656 + 258952464 = 43284^2 + 16092^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62350 + ... + 90290.

Almost surely, 2^2132457120 is an apocalyptic number.

2132457120 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 2132457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707288676).

2132457120 is an abundant number, since it is smaller than the sum of its proper divisors (5282120232).

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

2132457120 is a wasteful number, since it uses less digits than its factorization.

2132457120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28015 (or 28004 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2132457120 is about 46178.5352734363. The cubic root of 2132457120 is about 1287.1429106160.

Adding to 2132457120 its reverse (217542312), we get a palindrome (2349999432).

The spelling of 2132457120 in words is "two billion, one hundred thirty-two million, four hundred fifty-seven thousand, one hundred twenty".