2079511188480 has 1584 divisors, whose sum is σ = 8366477962752. Its totient is φ = 476548300800.

The previous prime is 2079511188463. The next prime is 2079511188581. The reversal of 2079511188480 is 848811159702.

2079511188480 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 511 + 1 + 88 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9160842127 + ... + 9160842353.

Almost surely, 2^{2079511188480} is an apocalyptic number.

2079511188480 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 2079511188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183238981376).

2079511188480 is an abundant number, since it is smaller than the sum of its proper divisors (6286966774272).

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

2079511188480 is a wasteful number, since it uses less digits than its factorization.

2079511188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 2079511188480 in words is "two trillion, seventy-nine billion, five hundred eleven million, one hundred eighty-eight thousand, four hundred eighty".