2638348992 has 168 divisors, whose sum is σ = 7869854720. Its totient is φ = 844162560.

The previous prime is 2638348939. The next prime is 2638349029. The reversal of 2638348992 is 2998438362.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2481453 + ... + 2482515.

Almost surely, 2^2638348992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2638348992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934927360).

2638348992 is an abundant number, since it is smaller than the sum of its proper divisors (5231505728).

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

2638348992 is a wasteful number, since it uses less digits than its factorization.

2638348992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1238 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 2638348992 is about 51364.8614521640. The cubic root of 2638348992 is about 1381.7964757188.

The spelling of 2638348992 in words is "two billion, six hundred thirty-eight million, three hundred forty-eight thousand, nine hundred ninety-two".