2778979120 has 80 divisors (see below), whose sum is σ = 6871836960. Its totient is φ = 1041518592.

The previous prime is 2778979109. The next prime is 2778979141. The reversal of 2778979120 is 219798772.

2778979120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306979 + ... + 315901.

It is an arithmetic number, because the mean of its divisors is an integer number (85897962).

Almost surely, 2^2778979120 is an apocalyptic number.

2778979120 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 2778979120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435918480).

2778979120 is an abundant number, since it is smaller than the sum of its proper divisors (4092857840).

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

2778979120 is a wasteful number, since it uses less digits than its factorization.

2778979120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9182 (or 9176 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 52.

The square root of 2778979120 is about 52716.0233705085. The cubic root of 2778979120 is about 1405.9237298835.

The spelling of 2778979120 in words is "two billion, seven hundred seventy-eight million, nine hundred seventy-nine thousand, one hundred twenty".