2638000900 has 18 divisors (see below), whose sum is σ = 5724462170. Its totient is φ = 1055200320.

The previous prime is 2638000889. The next prime is 2638000909. The reversal of 2638000900 is 90008362.

It can be written as a sum of positive squares in 3 ways, for example, as 3437316 + 2634563584 = 1854^2 + 51328^2 .

It is not an unprimeable number, because it can be changed into a prime (2638000909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13189905 + ... + 13190104.

Almost surely, 2^2638000900 is an apocalyptic number.

2638000900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2638000900 is an abundant number, since it is smaller than the sum of its proper divisors (3086461270).

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

2638000900 is a wasteful number, since it uses less digits than its factorization.

2638000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26380023 (or 26380016 counting only the distinct ones).

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

The square root of 2638000900 is about 51361.4729150168. The cubic root of 2638000900 is about 1381.7357036911.

The spelling of 2638000900 in words is "two billion, six hundred thirty-eight million, nine hundred", and thus it is an aban number.