2764319880 has 256 divisors, whose sum is σ = 10024704000. Its totient is φ = 595703808.

The previous prime is 2764319863. The next prime is 2764319891. The reversal of 2764319880 is 889134672.

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, 6048612 + ... + 6049068.

It is an arithmetic number, because the mean of its divisors is an integer number (39159000).

Almost surely, 2^2764319880 is an apocalyptic number.

2764319880 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 2764319880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012352000).

2764319880 is an abundant number, since it is smaller than the sum of its proper divisors (7260384120).

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

2764319880 is a wasteful number, since it uses less digits than its factorization.

2764319880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 2764319880 is about 52576.7998265395. The cubic root of 2764319880 is about 1403.4472666184.

The spelling of 2764319880 in words is "two billion, seven hundred sixty-four million, three hundred nineteen thousand, eight hundred eighty".