2137495100 has 108 divisors (see below), whose sum is σ = 5089361760. Its totient is φ = 778752000.

The previous prime is 2137495097. The next prime is 2137495103. The reversal of 2137495100 is 15947312.

It is an interprime number because it is at equal distance from previous prime (2137495097) and next prime (2137495103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137495103) 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, 1334300 + ... + 1335900.

It is an arithmetic number, because the mean of its divisors is an integer number (47123720).

Almost surely, 2^2137495100 is an apocalyptic number.

2137495100 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 2137495100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544680880).

2137495100 is an abundant number, since it is smaller than the sum of its proper divisors (2951866660).

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

2137495100 is a wasteful number, since it uses less digits than its factorization.

2137495100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 2137495100 is about 46233.0520299061. The cubic root of 2137495100 is about 1288.1557485294.

The spelling of 2137495100 in words is "two billion, one hundred thirty-seven million, four hundred ninety-five thousand, one hundred".