2799427968 has 192 divisors, whose sum is σ = 8513556480. Its totient is φ = 881556480.

The previous prime is 2799427933. The next prime is 2799427979. The reversal of 2799427968 is 8697249972.

2799427968 is a `hidden beast` number, since 279 + 94 + 279 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1534705 + ... + 1536527.

It is an arithmetic number, because the mean of its divisors is an integer number (44341440).

Almost surely, 2^2799427968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2799427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256778240).

2799427968 is an abundant number, since it is smaller than the sum of its proper divisors (5714128512).

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

2799427968 is a wasteful number, since it uses less digits than its factorization.

2799427968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1902 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The square root of 2799427968 is about 52909.6207508616. The cubic root of 2799427968 is about 1409.3637570095.

The spelling of 2799427968 in words is "two billion, seven hundred ninety-nine million, four hundred twenty-seven thousand, nine hundred sixty-eight".