2079215308800 has 2184 divisors, whose sum is σ = 9271911095424. Its totient is φ = 451958538240.

The previous prime is 2079215308771. The next prime is 2079215308817. The reversal of 2079215308800 is 88035129702.

It is a happy number.

2079215308800 is a `hidden beast` number, since 20 + 7 + 92 + 1 + 530 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 12018585514 + ... + 12018585686.

Almost surely, 2^{2079215308800} is an apocalyptic number.

2079215308800 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 2079215308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635955547712).

2079215308800 is an abundant number, since it is smaller than the sum of its proper divisors (7192695786624).

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

2079215308800 is an equidigital number, since it uses as much as digits as its factorization.

2079215308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2079215308800 in words is "two trillion, seventy-nine billion, two hundred fifteen million, three hundred eight thousand, eight hundred".