2638267164 has 144 divisors (see below), whose sum is σ = 7555451904. Its totient is φ = 770140800.

The previous prime is 2638267153. The next prime is 2638267171. The reversal of 2638267164 is 4617628362.

2638267164 is a `hidden beast` number, since 2 + 638 + 2 + 6 + 7 + 1 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1409149 + ... + 1411019.

It is an arithmetic number, because the mean of its divisors is an integer number (52468416).

Almost surely, 2^2638267164 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 2638267164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777725952).

2638267164 is an abundant number, since it is smaller than the sum of its proper divisors (4917184740).

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

2638267164 is a wasteful number, since it uses less digits than its factorization.

2638267164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2043 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2638267164 is about 51364.0649092340. The cubic root of 2638267164 is about 1381.7821901673.

The spelling of 2638267164 in words is "two billion, six hundred thirty-eight million, two hundred sixty-seven thousand, one hundred sixty-four".