2638230480 has 160 divisors (see below), whose sum is σ = 9236670720. Its totient is φ = 691960320.

The previous prime is 2638230443. The next prime is 2638230481. The reversal of 2638230480 is 840328362.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638230481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 121749 + ... + 141771.

It is an arithmetic number, because the mean of its divisors is an integer number (57729192).

Almost surely, 2^2638230480 is an apocalyptic number.

2638230480 is a gapful number since it is divisible by the number (20) 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 2638230480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618335360).

2638230480 is an abundant number, since it is smaller than the sum of its proper divisors (6598440240).

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

2638230480 is a wasteful number, since it uses less digits than its factorization.

2638230480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20106 (or 20094 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2638230480 is about 51363.7078100871. The cubic root of 2638230480 is about 1381.7757857701.

The spelling of 2638230480 in words is "two billion, six hundred thirty-eight million, two hundred thirty thousand, four hundred eighty".