2170552320 has 264 divisors, whose sum is σ = 7851735216. Its totient is φ = 553648128.

The previous prime is 2170552249. The next prime is 2170552331. The reversal of 2170552320 is 232550712.

2170552320 is a `hidden beast` number, since 21 + 70 + 552 + 3 + 20 = 666.

It is a super-2 number, since 2×2170552320² = 9422594747714764800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94371829 + ... + 94371851.

Almost surely, 2^2170552320 is an apocalyptic number.

2170552320 is a gapful number since it is divisible by the number (20) 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 2170552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925867608).

2170552320 is an abundant number, since it is smaller than the sum of its proper divisors (5681182896).

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

2170552320 is an frugal number, since it uses more digits than its factorization.

2170552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2170552320 is about 46589.1867282527. The cubic root of 2170552320 is about 1294.7624216953.

The spelling of 2170552320 in words is "two billion, one hundred seventy million, five hundred fifty-two thousand, three hundred twenty".