2638090000 has 300 divisors, whose sum is σ = 7939658496. Its totient is φ = 831168000.

The previous prime is 2638089967. The next prime is 2638090001. The reversal of 2638090000 is 908362.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638090001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11829889 + ... + 11830111.

Almost surely, 2^2638090000 is an apocalyptic number.

2638090000 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 2638090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969829248).

2638090000 is an abundant number, since it is smaller than the sum of its proper divisors (5301568496).

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

2638090000 is a wasteful number, since it uses less digits than its factorization.

2638090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2638090000 is about 51362.3402893599. The cubic root of 2638090000 is about 1381.7512598225.

Adding to 2638090000 its reverse (908362), we get a palindrome (2638998362).

The spelling of 2638090000 in words is "two billion, six hundred thirty-eight million, ninety thousand".