2168570880 has 616 divisors, whose sum is σ = 9021079872. Its totient is φ = 489701376.

The previous prime is 2168570879. The next prime is 2168570891. The reversal of 2168570880 is 880758612.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26127319 + ... + 26127401.

Almost surely, 2^2168570880 is an apocalyptic number.

2168570880 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 2168570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510539936).

2168570880 is an abundant number, since it is smaller than the sum of its proper divisors (6852508992).

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

2168570880 is an frugal number, since it uses more digits than its factorization.

2168570880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 2168570880 is about 46567.9168527002. The cubic root of 2168570880 is about 1294.3683169195.

The spelling of 2168570880 in words is "two billion, one hundred sixty-eight million, five hundred seventy thousand, eight hundred eighty".