2137974720 has 224 divisors, whose sum is σ = 7868814336. Its totient is φ = 481689600.

The previous prime is 2137974719. The next prime is 2137974779. The reversal of 2137974720 is 274797312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 474880 + ... + 479360.

Almost surely, 2^2137974720 is an apocalyptic number.

2137974720 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 2137974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934407168).

2137974720 is an abundant number, since it is smaller than the sum of its proper divisors (5730839616).

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

2137974720 is a wasteful number, since it uses less digits than its factorization.

2137974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579 (or 4569 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 2137974720 is about 46238.2387207817. The cubic root of 2137974720 is about 1288.2520885640.

The spelling of 2137974720 in words is "two billion, one hundred thirty-seven million, nine hundred seventy-four thousand, seven hundred twenty".