2137500 has 108 divisors (see below), whose sum is σ = 7108920. Its totient is φ = 540000.

The previous prime is 2137493. The next prime is 2137507. The reversal of 2137500 is 57312.

It is an interprime number because it is at equal distance from previous prime (2137493) and next prime (2137507).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137507) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112491 + ... + 112509.

2^2137500 is an apocalyptic number.

2137500 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 2137500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554460).

2137500 is an abundant number, since it is smaller than the sum of its proper divisors (4971420).

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

2137500 is a wasteful number, since it uses less digits than its factorization.

2137500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 2137500 is about 1462.0191517213. The cubic root of 2137500 is about 128.8156732853.

The spelling of 2137500 in words is "two million, one hundred thirty-seven thousand, five hundred".