2798076960 has 672 divisors, whose sum is σ = 11898835200. Its totient is φ = 607647744.

The previous prime is 2798076917. The next prime is 2798076973. The reversal of 2798076960 is 696708972.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2798076897 and 2798076906.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18778966 + ... + 18779114.

It is an arithmetic number, because the mean of its divisors is an integer number (17706600).

Almost surely, 2^2798076960 is an apocalyptic number.

2798076960 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 2798076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5949417600).

2798076960 is an abundant number, since it is smaller than the sum of its proper divisors (9100758240).

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

2798076960 is a wasteful number, since it uses less digits than its factorization.

2798076960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 2798076960 is about 52896.8520802514. The cubic root of 2798076960 is about 1409.1370001964.

The spelling of 2798076960 in words is "two billion, seven hundred ninety-eight million, seventy-six thousand, nine hundred sixty".