2137953000 has 64 divisors (see below), whose sum is σ = 6670422720. Its totient is φ = 570120000.

The previous prime is 2137952989. The next prime is 2137953001. The reversal of 2137953000 is 3597312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2137953001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353326 + ... + 359325.

It is an arithmetic number, because the mean of its divisors is an integer number (104225355).

Almost surely, 2^2137953000 is an apocalyptic number.

2137953000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137953000 is an abundant number, since it is smaller than the sum of its proper divisors (4532469720).

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

2137953000 is a wasteful number, since it uses less digits than its factorization.

2137953000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712675 (or 712661 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 2137953000 is about 46238.0038496473. The cubic root of 2137953000 is about 1288.2477260350.

The spelling of 2137953000 in words is "two billion, one hundred thirty-seven million, nine hundred fifty-three thousand".