2137520 has 80 divisors (see below), whose sum is σ = 6213888. Its totient is φ = 664320.

The previous prime is 2137517. The next prime is 2137547. The reversal of 2137520 is 257312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2137492 and 2137501.

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, 5987 + ... + 6333.

2^2137520 is an apocalyptic number.

2137520 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 2137520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106944).

2137520 is an abundant number, since it is smaller than the sum of its proper divisors (4076368).

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

2137520 is a wasteful number, since it uses less digits than its factorization.

2137520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 2137520 is about 1462.0259915610. The cubic root of 2137520 is about 128.8160750483.

The spelling of 2137520 in words is "two million, one hundred thirty-seven thousand, five hundred twenty".