2137565040 has 320 divisors, whose sum is σ = 7631511552. Its totient is φ = 490291200.

The previous prime is 2137565039. The next prime is 2137565047. The reversal of 2137565040 is 405657312.

It is a junction number, because it is equal to n+sod(n) for n = 2137564992 and 2137565010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137565047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10130535 + ... + 10130745.

Almost surely, 2^2137565040 is an apocalyptic number.

2137565040 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 2137565040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815755776).

2137565040 is an abundant number, since it is smaller than the sum of its proper divisors (5493946512).

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

2137565040 is a wasteful number, since it uses less digits than its factorization.

2137565040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 2137565040 is about 46233.8084089987. The cubic root of 2137565040 is about 1288.1697980946.

The spelling of 2137565040 in words is "two billion, one hundred thirty-seven million, five hundred sixty-five thousand, forty".