2879499168 has 576 divisors, whose sum is σ = 11174671872. Its totient is φ = 681246720.

The previous prime is 2879499143. The next prime is 2879499173. The reversal of 2879499168 is 8619949782.

2879499168 is a `hidden beast` number, since 2 + 87 + 9 + 499 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 10247188 + ... + 10247468.

It is an arithmetic number, because the mean of its divisors is an integer number (19400472).

Almost surely, 2^2879499168 is an apocalyptic number.

2879499168 is a gapful number since it is divisible by the number (28) 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 2879499168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587335936).

2879499168 is an abundant number, since it is smaller than the sum of its proper divisors (8295172704).

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

2879499168 is a wasteful number, since it uses less digits than its factorization.

2879499168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The square root of 2879499168 is about 53660.9650304577. The cubic root of 2879499168 is about 1422.6748445155.

The spelling of 2879499168 in words is "two billion, eight hundred seventy-nine million, four hundred ninety-nine thousand, one hundred sixty-eight".