2137006520 has 128 divisors (see below), whose sum is σ = 5452920000. Its totient is φ = 746618880.

The previous prime is 2137006519. The next prime is 2137006541. The reversal of 2137006520 is 256007312.

It is a self number, because there is not a number n which added to its sum of digits gives 2137006520.

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, 4759256 + ... + 4759704.

Almost surely, 2^2137006520 is an apocalyptic number.

2137006520 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 2137006520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726460000).

2137006520 is an abundant number, since it is smaller than the sum of its proper divisors (3315913480).

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

2137006520 is a wasteful number, since it uses less digits than its factorization.

2137006520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 2137006520 is about 46227.7678457440. The cubic root of 2137006520 is about 1288.0575939037.

The spelling of 2137006520 in words is "two billion, one hundred thirty-seven million, six thousand, five hundred twenty".