2605167000090 has 128 divisors (see below), whose sum is σ = 7028639101440. Its totient is φ = 686605248000.

The previous prime is 2605167000047. The next prime is 2605167000091. The reversal of 2605167000090 is 900007615062.

It is not an unprimeable number, because it can be changed into a prime (2605167000091) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7869510 + ... + 8193870.

It is an arithmetic number, because the mean of its divisors is an integer number (54911242980).

Almost surely, 2^{2605167000090} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2605167000090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514319550720).

2605167000090 is an abundant number, since it is smaller than the sum of its proper divisors (4423472101350).

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

2605167000090 is a wasteful number, since it uses less digits than its factorization.

2605167000090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324725 (or 324719 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 2605167000090 in words is "two trillion, six hundred five billion, one hundred sixty-seven million, ninety", and thus it is an aban number.