2909079648960 has 224 divisors, whose sum is σ = 9443244349440. Its totient is φ = 758412177408.

The previous prime is 2909079648931. The next prime is 2909079648973. The reversal of 2909079648960 is 698469709092.

It is a super-3 number, since 3×2909079648960³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41430202 + ... + 41500358.

Almost surely, 2^{2909079648960} is an apocalyptic number.

2909079648960 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 2909079648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721622174720).

2909079648960 is an abundant number, since it is smaller than the sum of its proper divisors (6534164700480).

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

2909079648960 is a wasteful number, since it uses less digits than its factorization.

2909079648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71143 (or 71133 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 69.

The spelling of 2909079648960 in words is "two trillion, nine hundred nine billion, seventy-nine million, six hundred forty-eight thousand, nine hundred sixty".