2799578880 has 432 divisors, whose sum is σ = 11192126400. Its totient is φ = 632881152.

The previous prime is 2799578857. The next prime is 2799578911. The reversal of 2799578880 is 888759972.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12015244 + ... + 12015476.

It is an arithmetic number, because the mean of its divisors is an integer number (25907700).

Almost surely, 2^2799578880 is an apocalyptic number.

2799578880 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 2799578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5596063200).

2799578880 is an abundant number, since it is smaller than the sum of its proper divisors (8392547520).

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

2799578880 is a wasteful number, since it uses less digits than its factorization.

2799578880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The square root of 2799578880 is about 52911.0468616904. The cubic root of 2799578880 is about 1409.3890819549.

The spelling of 2799578880 in words is "two billion, seven hundred ninety-nine million, five hundred seventy-eight thousand, eight hundred eighty".