2079472000800 has 288 divisors, whose sum is σ = 7192203544512. Its totient is φ = 520059617280.

The previous prime is 2079472000759. The next prime is 2079472000813. The reversal of 2079472000800 is 80002749702.

It is a super-2 number, since 2×2079472000800² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11456352 + ... + 11636448.

It is an arithmetic number, because the mean of its divisors is an integer number (24972928974).

Almost surely, 2^{2079472000800} is an apocalyptic number.

2079472000800 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 2079472000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596101772256).

2079472000800 is an abundant number, since it is smaller than the sum of its proper divisors (5112731543712).

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

2079472000800 is a wasteful number, since it uses less digits than its factorization.

2079472000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180420 (or 180407 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 2079472000800 in words is "two trillion, seventy-nine billion, four hundred seventy-two million, eight hundred", and thus it is an aban number.