2638652352 has 224 divisors, whose sum is σ = 8241792000. Its totient is φ = 744662016.

The previous prime is 2638652351. The next prime is 2638652353. The reversal of 2638652352 is 2532568362.

It is an interprime number because it is at equal distance from previous prime (2638652351) and next prime (2638652353).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638652351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6782974 + ... + 6783362.

Almost surely, 2^2638652352 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 2638652352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120896000).

2638652352 is an abundant number, since it is smaller than the sum of its proper divisors (5603139648).

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

2638652352 is a wasteful number, since it uses less digits than its factorization.

2638652352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 504 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 2638652352 is about 51367.8143587986. The cubic root of 2638652352 is about 1381.8494338017.

The spelling of 2638652352 in words is "two billion, six hundred thirty-eight million, six hundred fifty-two thousand, three hundred fifty-two".