2151759360 has 160 divisors (see below), whose sum is σ = 7283989152. Its totient is φ = 540016640.

The previous prime is 2151759359. The next prime is 2151759391. The reversal of 2151759360 is 639571512.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122320 + ... + 138800.

Almost surely, 2^2151759360 is an apocalyptic number.

2151759360 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 2151759360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641994576).

2151759360 is an abundant number, since it is smaller than the sum of its proper divisors (5132229792).

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

2151759360 is a wasteful number, since it uses less digits than its factorization.

2151759360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16524 (or 16508 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 2151759360 is about 46387.0602646902. The cubic root of 2151759360 is about 1291.0148375019.

The spelling of 2151759360 in words is "two billion, one hundred fifty-one million, seven hundred fifty-nine thousand, three hundred sixty".