2638604104248 has 512 divisors, whose sum is σ = 8178610176000. Its totient is φ = 707609548800.

The previous prime is 2638604104229. The next prime is 2638604104259. The reversal of 2638604104248 is 8424014068362.

It is a junction number, because it is equal to n+sod(n) for n = 2638604104197 and 2638604104206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4449585040 + ... + 4449585632.

It is an arithmetic number, because the mean of its divisors is an integer number (15973848000).

Almost surely, 2^{2638604104248} is an apocalyptic number.

2638604104248 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 2638604104248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4089305088000).

2638604104248 is an abundant number, since it is smaller than the sum of its proper divisors (5540006071752).

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

2638604104248 is a wasteful number, since it uses less digits than its factorization.

2638604104248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 2638604104248 in words is "two trillion, six hundred thirty-eight billion, six hundred four million, one hundred four thousand, two hundred forty-eight".