2879709297408 has 576 divisors, whose sum is σ = 9065548800000. Its totient is φ = 899154432000.

The previous prime is 2879709297373. The next prime is 2879709297433. The reversal of 2879709297408 is 8047929079782.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×2879709297408⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6559702053 + ... + 6559702491.

It is an arithmetic number, because the mean of its divisors is an integer number (15738800000).

Almost surely, 2^{2879709297408} 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 2879709297408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532774400000).

2879709297408 is an abundant number, since it is smaller than the sum of its proper divisors (6185839502592).

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

2879709297408 is a wasteful number, since it uses less digits than its factorization.

2879709297408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 2879709297408 in words is "two trillion, eight hundred seventy-nine billion, seven hundred nine million, two hundred ninety-seven thousand, four hundred eight".