2137455264 has 192 divisors, whose sum is σ = 6604416000. Its totient is φ = 605009664.

The previous prime is 2137455263. The next prime is 2137455329. The reversal of 2137455264 is 4625547312.

Its product of digits (201600) is a multiple of the sum of its prime factors (640).

It is not an unprimeable number, because it can be changed into a prime (2137455263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4576759 + ... + 4577225.

It is an arithmetic number, because the mean of its divisors is an integer number (34398000).

Almost surely, 2^2137455264 is an apocalyptic number.

2137455264 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 2137455264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208000).

2137455264 is an abundant number, since it is smaller than the sum of its proper divisors (4466960736).

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

2137455264 is a wasteful number, since it uses less digits than its factorization.

2137455264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 618 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 2137455264 is about 46232.6212105695. The cubic root of 2137455264 is about 1288.1477461264.

The spelling of 2137455264 in words is "two billion, one hundred thirty-seven million, four hundred fifty-five thousand, two hundred sixty-four".