2535665352 has 96 divisors (see below), whose sum is σ = 7156464000. Its totient is φ = 747584640.

The previous prime is 2535665339. The next prime is 2535665357.

2535665352 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2535665357) 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, 95649 + ... + 119247.

It is an arithmetic number, because the mean of its divisors is an integer number (74546500).

Almost surely, 2^2535665352 is an apocalyptic number.

2535665352 is a gapful number since it is divisible by the number (22) 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 2535665352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578232000).

2535665352 is an abundant number, since it is smaller than the sum of its proper divisors (4620798648).

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

2535665352 is a wasteful number, since it uses less digits than its factorization.

2535665352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23667 (or 23652 counting only the distinct ones).

The product of its digits is 810000, while the sum is 42.

The square root of 2535665352 is about 50355.3904959539. The cubic root of 2535665352 is about 1363.6324018083.

The spelling of 2535665352 in words is "two billion, five hundred thirty-five million, six hundred sixty-five thousand, three hundred fifty-two".