2765290164 has 192 divisors, whose sum is σ = 8258342400. Its totient is φ = 700710912.

The previous prime is 2765290147. The next prime is 2765290189. The reversal of 2765290164 is 4610925672.

It is a super-2 number, since 2×2765290164² = 15293659382230293792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3595572 + ... + 3596340.

It is an arithmetic number, because the mean of its divisors is an integer number (43012200).

Almost surely, 2^2765290164 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 2765290164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129171200).

2765290164 is an abundant number, since it is smaller than the sum of its proper divisors (5493052236).

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

2765290164 is a wasteful number, since it uses less digits than its factorization.

2765290164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2765290164 is about 52586.0263187855. The cubic root of 2765290164 is about 1403.6114520470.

The spelling of 2765290164 in words is "two billion, seven hundred sixty-five million, two hundred ninety thousand, one hundred sixty-four".