2151776256 has 256 divisors, whose sum is σ = 6794668800. Its totient is φ = 592969728.

The previous prime is 2151776219. The next prime is 2151776257. The reversal of 2151776256 is 6526771512.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151776257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36470755 + ... + 36470813.

It is an arithmetic number, because the mean of its divisors is an integer number (26541675).

Almost surely, 2^2151776256 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 2151776256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397334400).

2151776256 is an abundant number, since it is smaller than the sum of its proper divisors (4642892544).

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

2151776256 is an frugal number, since it uses more digits than its factorization.

2151776256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its digits is 176400, while the sum is 42.

The square root of 2151776256 is about 46387.2423840866. The cubic root of 2151776256 is about 1291.0182165863.

The spelling of 2151776256 in words is "two billion, one hundred fifty-one million, seven hundred seventy-six thousand, two hundred fifty-six".