2137340520 has 448 divisors, whose sum is σ = 8492872320. Its totient is φ = 473651712.

The previous prime is 2137340503. The next prime is 2137340563. The reversal of 2137340520 is 250437312.

2137340520 is a `hidden beast` number, since 2 + 137 + 3 + 4 + 0 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7552299 + ... + 7552581.

Almost surely, 2^2137340520 is an apocalyptic number.

2137340520 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 2137340520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246436160).

2137340520 is an abundant number, since it is smaller than the sum of its proper divisors (6355531800).

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

2137340520 is a wasteful number, since it uses less digits than its factorization.

2137340520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2137340520 is about 46231.3802519458. The cubic root of 2137340520 is about 1288.1246953719.

Adding to 2137340520 its reverse (250437312), we get a palindrome (2387777832).

The spelling of 2137340520 in words is "two billion, one hundred thirty-seven million, three hundred forty thousand, five hundred twenty".