2137873920 has 960 divisors, whose sum is σ = 9404398080. Its totient is φ = 408748032.

The previous prime is 2137873919. The next prime is 2137873921. The reversal of 2137873920 is 293787312.

It is an interprime number because it is at equal distance from previous prime (2137873919) and next prime (2137873921).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137873921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92951029 + ... + 92951051.

It is an arithmetic number, because the mean of its divisors is an integer number (9796248).

Almost surely, 2^2137873920 is an apocalyptic number.

2137873920 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 2137873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702199040).

2137873920 is an abundant number, since it is smaller than the sum of its proper divisors (7266524160).

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

2137873920 is a wasteful number, since it uses less digits than its factorization.

2137873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 2137873920 is about 46237.1487010175. The cubic root of 2137873920 is about 1288.2318423234.

The spelling of 2137873920 in words is "two billion, one hundred thirty-seven million, eight hundred seventy-three thousand, nine hundred twenty".