2137785000 has 320 divisors, whose sum is σ = 7583822400. Its totient is φ = 497664000.

The previous prime is 2137784941. The next prime is 2137785029. The reversal of 2137785000 is 5877312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3704712 + ... + 3705288.

It is an arithmetic number, because the mean of its divisors is an integer number (23699445).

Almost surely, 2^2137785000 is an apocalyptic number.

2137785000 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 2137785000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791911200).

2137785000 is an abundant number, since it is smaller than the sum of its proper divisors (5446037400).

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

2137785000 is a wasteful number, since it uses less digits than its factorization.

2137785000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 2137785000 is about 46236.1871265354. The cubic root of 2137785000 is about 1288.2139817186.

The spelling of 2137785000 in words is "two billion, one hundred thirty-seven million, seven hundred eighty-five thousand".