2279180076096 has 672 divisors, whose sum is σ = 7769860000000. Its totient is φ = 588937789440.

The previous prime is 2279180076083. The next prime is 2279180076119. The reversal of 2279180076096 is 6906700819722.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1824803280 + ... + 1824804528.

Almost surely, 2^{2279180076096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2279180076096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884930000000).

2279180076096 is an abundant number, since it is smaller than the sum of its proper divisors (5490679923904).

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

2279180076096 is a wasteful number, since it uses less digits than its factorization.

2279180076096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 2279180076096 in words is "two trillion, two hundred seventy-nine billion, one hundred eighty million, seventy-six thousand, ninety-six".