2167201776090 has 128 divisors (see below), whose sum is σ = 5641699117824. Its totient is φ = 529638912000.

The previous prime is 2167201776053. The next prime is 2167201776107. The reversal of 2167201776090 is 906771027612.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31075860 + ... + 31145520.

It is an arithmetic number, because the mean of its divisors is an integer number (44075774358).

Almost surely, 2^{2167201776090} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2167201776090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820849558912).

2167201776090 is an abundant number, since it is smaller than the sum of its proper divisors (3474497341734).

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

2167201776090 is a wasteful number, since it uses less digits than its factorization.

2167201776090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70256.

The product of its (nonzero) digits is 444528, while the sum is 48.

The spelling of 2167201776090 in words is "two trillion, one hundred sixty-seven billion, two hundred one million, seven hundred seventy-six thousand, ninety".