2151715760 has 80 divisors (see below), whose sum is σ = 5152572000. Its totient is φ = 835043328.

The previous prime is 2151715747. The next prime is 2151715763. The reversal of 2151715760 is 675171512.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2151715760.

It is not an unprimeable number, because it can be changed into a prime (2151715763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1328231 + ... + 1329849.

It is an arithmetic number, because the mean of its divisors is an integer number (64407150).

Almost surely, 2^2151715760 is an apocalyptic number.

2151715760 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 2151715760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576286000).

2151715760 is an abundant number, since it is smaller than the sum of its proper divisors (3000856240).

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

2151715760 is a wasteful number, since it uses less digits than its factorization.

2151715760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 35.

The square root of 2151715760 is about 46386.5903036643. The cubic root of 2151715760 is about 1291.0061177184.

The spelling of 2151715760 in words is "two billion, one hundred fifty-one million, seven hundred fifteen thousand, seven hundred sixty".