2137245264 has 480 divisors, whose sum is σ = 7929492480. Its totient is φ = 545719680.

The previous prime is 2137245263. The next prime is 2137245289. The reversal of 2137245264 is 4625427312.

2137245264 is a `hidden beast` number, since 21 + 372 + 4 + 5 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137245263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36224467 + ... + 36224525.

It is an arithmetic number, because the mean of its divisors is an integer number (16519776).

Almost surely, 2^2137245264 is an apocalyptic number.

2137245264 is a gapful number since it is divisible by the number (24) 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 2137245264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964746240).

2137245264 is an abundant number, since it is smaller than the sum of its proper divisors (5792247216).

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

2137245264 is an equidigital number, since it uses as much as digits as its factorization.

2137245264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 82 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 2137245264 is about 46230.3500311213. The cubic root of 2137245264 is about 1288.1055589064.

The spelling of 2137245264 in words is "two billion, one hundred thirty-seven million, two hundred forty-five thousand, two hundred sixty-four".