2798832960 has 672 divisors, whose sum is σ = 12550688640. Its totient is φ = 580608000.

The previous prime is 2798832941. The next prime is 2798832989. The reversal of 2798832960 is 692388972.

It is a happy number.

2798832960 is a `hidden beast` number, since 279 + 8 + 83 + 296 + 0 = 666.

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 = 2798832897 and 2798832906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4656660 + ... + 4657260.

It is an arithmetic number, because the mean of its divisors is an integer number (18676620).

Almost surely, 2^2798832960 is an apocalyptic number.

2798832960 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 2798832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6275344320).

2798832960 is an abundant number, since it is smaller than the sum of its proper divisors (9751855680).

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

2798832960 is a wasteful number, since it uses less digits than its factorization.

2798832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 2798832960 is about 52903.9975805232. The cubic root of 2798832960 is about 1409.2638982599.

The spelling of 2798832960 in words is "two billion, seven hundred ninety-eight million, eight hundred thirty-two thousand, nine hundred sixty".