2605167000080 has 40 divisors (see below), whose sum is σ = 6057103838400. Its totient is φ = 1042051219328.

The previous prime is 2605167000047. The next prime is 2605167000091. The reversal of 2605167000080 is 800007615062.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2605167000080³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2605167000080.

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 7 ways as a sum of consecutive naturals, for example, 6199691 + ... + 6606549.

It is an arithmetic number, because the mean of its divisors is an integer number (151427595960).

Almost surely, 2^{2605167000080} is an apocalyptic number.

2605167000080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2605167000080 is an abundant number, since it is smaller than the sum of its proper divisors (3451936838320).

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

2605167000080 is a wasteful number, since it uses less digits than its factorization.

2605167000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486911 (or 486905 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 2605167000080 in words is "two trillion, six hundred five billion, one hundred sixty-seven million, eighty", and thus it is an aban number.