2117137560 has 128 divisors (see below), whose sum is σ = 6696345600. Its totient is φ = 534689280.

The previous prime is 2117137549. The next prime is 2117137577. The reversal of 2117137560 is 657317112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168786 + ... + 180894.

It is an arithmetic number, because the mean of its divisors is an integer number (52315200).

Almost surely, 2^2117137560 is an apocalyptic number.

2117137560 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 2117137560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348172800).

2117137560 is an abundant number, since it is smaller than the sum of its proper divisors (4579208040).

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

2117137560 is a wasteful number, since it uses less digits than its factorization.

2117137560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12201 (or 12197 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 2117137560 is about 46012.3631212308. The cubic root of 2117137560 is about 1284.0532241793.

The spelling of 2117137560 in words is "two billion, one hundred seventeen million, one hundred thirty-seven thousand, five hundred sixty".