2638284792 has 128 divisors (see below), whose sum is σ = 7811112960. Its totient is φ = 732049920.

The previous prime is 2638284743. The next prime is 2638284799. The reversal of 2638284792 is 2974828362.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638284799) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432838 + ... + 438890.

It is an arithmetic number, because the mean of its divisors is an integer number (61024320).

Almost surely, 2^2638284792 is an apocalyptic number.

2638284792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2638284792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905556480).

2638284792 is an abundant number, since it is smaller than the sum of its proper divisors (5172828168).

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

2638284792 is a wasteful number, since it uses less digits than its factorization.

2638284792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6213 (or 6209 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 2638284792 is about 51364.2365075156. The cubic root of 2638284792 is about 1381.7852676927.

The spelling of 2638284792 in words is "two billion, six hundred thirty-eight million, two hundred eighty-four thousand, seven hundred ninety-two".