2079088954560 has 336 divisors, whose sum is σ = 7441558375680. Its totient is φ = 532349798400.

The previous prime is 2079088954543. The next prime is 2079088954583. The reversal of 2079088954560 is 654598809702.

2079088954560 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 0 + 8 + 89 + 545 + 6 + 0 = 666.

It is a super-2 number, since 2×2079088954560² (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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7164285 + ... + 7448835.

Almost surely, 2^{2079088954560} is an apocalyptic number.

2079088954560 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 2079088954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720779187840).

2079088954560 is an abundant number, since it is smaller than the sum of its proper divisors (5362469421120).

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

2079088954560 is a wasteful number, since it uses less digits than its factorization.

2079088954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284676 (or 284663 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 2079088954560 in words is "two trillion, seventy-nine billion, eighty-eight million, nine hundred fifty-four thousand, five hundred sixty".