2137720 has 32 divisors (see below), whose sum is σ = 5181120. Its totient is φ = 789120.

The previous prime is 2137717. The next prime is 2137727. The reversal of 2137720 is 277312.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2137691 and 2137700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137727) 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, 1536 + ... + 2575.

It is an arithmetic number, because the mean of its divisors is an integer number (161910).

2^2137720 is an apocalyptic number.

2137720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137720 is an abundant number, since it is smaller than the sum of its proper divisors (3043400).

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

2137720 is a wasteful number, since it uses less digits than its factorization.

2137720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 2137720 is about 1462.0943881980. The cubic root of 2137720 is about 128.8200925408.

The spelling of 2137720 in words is "two million, one hundred thirty-seven thousand, seven hundred twenty".