2137317440 has 56 divisors (see below), whose sum is σ = 5103205440. Its totient is φ = 852622848.

The previous prime is 2137317439. The next prime is 2137317443. The reversal of 2137317440 is 447137312.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2137317397 and 2137317406.

It is not an unprimeable number, because it can be changed into a prime (2137317443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112469 + ... + 130091.

Almost surely, 2^2137317440 is an apocalyptic number.

2137317440 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 2137317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551602720).

2137317440 is an abundant number, since it is smaller than the sum of its proper divisors (2965888000).

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

2137317440 is a wasteful number, since it uses less digits than its factorization.

2137317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18019 (or 18009 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 2137317440 is about 46231.1306372665. The cubic root of 2137317440 is about 1288.1200587647.

The spelling of 2137317440 in words is "two billion, one hundred thirty-seven million, three hundred seventeen thousand, four hundred forty".