2927216880 has 480 divisors, whose sum is σ = 11915904000. Its totient is φ = 667554048.

The previous prime is 2927216867. The next prime is 2927216921. The reversal of 2927216880 is 886127292.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6667701 + ... + 6668139.

It is an arithmetic number, because the mean of its divisors is an integer number (24824800).

Almost surely, 2^2927216880 is an apocalyptic number.

2927216880 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 2927216880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957952000).

2927216880 is an abundant number, since it is smaller than the sum of its proper divisors (8988687120).

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

2927216880 is an equidigital number, since it uses as much as digits as its factorization.

2927216880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2927216880 is about 54103.7603129394. The cubic root of 2927216880 is about 1430.4904637395.

The spelling of 2927216880 in words is "two billion, nine hundred twenty-seven million, two hundred sixteen thousand, eight hundred eighty".