2137739184 has 120 divisors (see below), whose sum is σ = 6891622400. Its totient is φ = 605937024.

The previous prime is 2137739179. The next prime is 2137739189. The reversal of 2137739184 is 4819377312.

It is an interprime number because it is at equal distance from previous prime (2137739179) and next prime (2137739189).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2137739189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119667 + ... + 136365.

Almost surely, 2^2137739184 is an apocalyptic number.

2137739184 is a gapful number since it is divisible by the number (24) 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 2137739184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445811200).

2137739184 is an abundant number, since it is smaller than the sum of its proper divisors (4753883216).

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

2137739184 is a wasteful number, since it uses less digits than its factorization.

2137739184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16847 (or 16838 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 2137739184 is about 46235.6916678014. The cubic root of 2137739184 is about 1288.2047788547.

It can be divided in two parts, 2137 and 739184, that added together give a square (741321 = 861²).

The spelling of 2137739184 in words is "two billion, one hundred thirty-seven million, seven hundred thirty-nine thousand, one hundred eighty-four".