2170082880 has 448 divisors, whose sum is σ = 8927470080. Its totient is φ = 485941248.

The previous prime is 2170082857. The next prime is 2170082917. The reversal of 2170082880 is 882800712.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-4 number, since 4×2170082880⁴ (a number of 38 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3205102 + ... + 3205778.

Almost surely, 2^2170082880 is an apocalyptic number.

2170082880 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 2170082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463735040).

2170082880 is an abundant number, since it is smaller than the sum of its proper divisors (6757387200).

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

2170082880 is a wasteful number, since it uses less digits than its factorization.

2170082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 2170082880 is about 46584.1483768889. The cubic root of 2170082880 is about 1294.6690726293.

The spelling of 2170082880 in words is "two billion, one hundred seventy million, eighty-two thousand, eight hundred eighty".