2171552256 has 240 divisors, whose sum is σ = 6989954400. Its totient is φ = 644972544.

The previous prime is 2171552203. The next prime is 2171552261. The reversal of 2171552256 is 6522551712.

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

Its product of digits (42000) is a multiple of the sum of its prime divisors (1500).

It is a self number, because there is not a number n which added to its sum of digits gives 2171552256.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1487655 + ... + 1489113.

It is an arithmetic number, because the mean of its divisors is an integer number (29124810).

Almost surely, 2^2171552256 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 2171552256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494977200).

2171552256 is an abundant number, since it is smaller than the sum of its proper divisors (4818402144).

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

2171552256 is a wasteful number, since it uses less digits than its factorization.

2171552256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1500 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 2171552256 is about 46599.9169097972. The cubic root of 2171552256 is about 1294.9612160734.

The spelling of 2171552256 in words is "two billion, one hundred seventy-one million, five hundred fifty-two thousand, two hundred fifty-six".