2791260876800 has 312 divisors, whose sum is σ = 7948174200960. Its totient is φ = 961575321600.

The previous prime is 2791260876787. The next prime is 2791260876823. The reversal of 2791260876800 is 86780621972.

It is a super-2 number, since 2×2791260876800² (a number of 26 digits) contains 22 as substring.

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, 21336389 + ... + 21466811.

Almost surely, 2^{2791260876800} is an apocalyptic number.

2791260876800 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 2791260876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974087100480).

2791260876800 is an abundant number, since it is smaller than the sum of its proper divisors (5156913324160).

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

2791260876800 is a wasteful number, since it uses less digits than its factorization.

2791260876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130487 (or 130460 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 56.

The spelling of 2791260876800 in words is "two trillion, seven hundred ninety-one billion, two hundred sixty million, eight hundred seventy-six thousand, eight hundred".