2137280256 has 432 divisors, whose sum is σ = 7071128064. Its totient is φ = 640991232.

The previous prime is 2137280237. The next prime is 2137280261. The reversal of 2137280256 is 6520827312.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2137280256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45474025 + ... + 45474071.

It is an arithmetic number, because the mean of its divisors is an integer number (16368352).

Almost surely, 2^2137280256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137280256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535564032).

2137280256 is an abundant number, since it is smaller than the sum of its proper divisors (4933847808).

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

2137280256 is an equidigital number, since it uses as much as digits as its factorization.

2137280256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2137280256 is about 46230.7284822552. The cubic root of 2137280256 is about 1288.1125886945.

The spelling of 2137280256 in words is "two billion, one hundred thirty-seven million, two hundred eighty thousand, two hundred fifty-six".