2635973352 has 96 divisors (see below), whose sum is σ = 7662849480. Its totient is φ = 815616000.

The previous prime is 2635973311. The next prime is 2635973359. The reversal of 2635973352 is 2533795362.

2635973352 is a `hidden beast` number, since 2 + 6 + 3 + 597 + 3 + 3 + 52 = 666.

2635973352 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2456788356 + 179184996 = 49566^2 + 13386^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2635973298 and 2635973307.

It is not an unprimeable number, because it can be changed into a prime (2635973359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74602 + ... + 104102.

Almost surely, 2^2635973352 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 2635973352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831424740).

2635973352 is an abundant number, since it is smaller than the sum of its proper divisors (5026876128).

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

2635973352 is a wasteful number, since it uses less digits than its factorization.

2635973352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29603 (or 29596 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 45.

The square root of 2635973352 is about 51341.7310966430. The cubic root of 2635973352 is about 1381.3816156750.

The spelling of 2635973352 in words is "two billion, six hundred thirty-five million, nine hundred seventy-three thousand, three hundred fifty-two".