2638899648 has 420 divisors, whose sum is σ = 9842993776. Its totient is φ = 684288000.

The previous prime is 2638899629. The next prime is 2638899673. The reversal of 2638899648 is 8469988362.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4390548 + ... + 4391148.

Almost surely, 2^2638899648 is an apocalyptic number.

2638899648 is a gapful number since it is divisible by the number (28) 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 2638899648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921496888).

2638899648 is an abundant number, since it is smaller than the sum of its proper divisors (7204094128).

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

2638899648 is a wasteful number, since it uses less digits than its factorization.

2638899648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 624 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The square root of 2638899648 is about 51370.2214127991. The cubic root of 2638899648 is about 1381.8926016916.

The spelling of 2638899648 in words is "two billion, six hundred thirty-eight million, eight hundred ninety-nine thousand, six hundred forty-eight".