2791297843200 has 1632 divisors, whose sum is σ = 11194931395200. Its totient is φ = 687970713600.

The previous prime is 2791297843199. The next prime is 2791297843223. The reversal of 2791297843200 is 23487921972.

It is a happy number.

2791297843200 is a `hidden beast` number, since 2 + 79 + 1 + 297 + 84 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 68080435180 + ... + 68080435220.

Almost surely, 2^{2791297843200} is an apocalyptic number.

2791297843200 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 2791297843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5597465697600).

2791297843200 is an abundant number, since it is smaller than the sum of its proper divisors (8403633552000).

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

2791297843200 is an frugal number, since it uses more digits than its factorization.

2791297843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2791297843200 in words is "two trillion, seven hundred ninety-one billion, two hundred ninety-seven million, eight hundred forty-three thousand, two hundred".