2137717824 has 112 divisors (see below), whose sum is σ = 6313992960. Its totient is φ = 632701440.

The previous prime is 2137717811. The next prime is 2137717837. The reversal of 2137717824 is 4287177312.

It is an interprime number because it is at equal distance from previous prime (2137717811) and next prime (2137717837).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79047 + ... + 102585.

Almost surely, 2^2137717824 is an apocalyptic number.

2137717824 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 2137717824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156996480).

2137717824 is an abundant number, since it is smaller than the sum of its proper divisors (4176275136).

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

2137717824 is a wasteful number, since it uses less digits than its factorization.

2137717824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23608 (or 23598 counting only the distinct ones).

The product of its digits is 131712, while the sum is 42.

The square root of 2137717824 is about 46235.4606768441. The cubic root of 2137717824 is about 1288.2004883179.

The spelling of 2137717824 in words is "two billion, one hundred thirty-seven million, seven hundred seventeen thousand, eight hundred twenty-four".