2779920000 has 960 divisors, whose sum is σ = 12178726560. Its totient is φ = 622080000.

The previous prime is 2779919983. The next prime is 2779920023. The reversal of 2779920000 is 299772.

It is a tau number, because it is divible by the number of its divisors (960).

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 213839994 + ... + 213840006.

Almost surely, 2^2779920000 is an apocalyptic number.

2779920000 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 2779920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6089363280).

2779920000 is an abundant number, since it is smaller than the sum of its proper divisors (9398806560).

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

2779920000 is an equidigital number, since it uses as much as digits as its factorization.

2779920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 2779920000 is about 52724.9466571565. The cubic root of 2779920000 is about 1406.0823800211.

The spelling of 2779920000 in words is "two billion, seven hundred seventy-nine million, nine hundred twenty thousand".