2532992352 has 96 divisors (see below), whose sum is σ = 7362036864. Its totient is φ = 756096000.

The previous prime is 2532992347. The next prime is 2532992359.

2532992352 is nontrivially palindromic in base 10.

2532992352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2532992359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52852 + ... + 88652.

It is an arithmetic number, because the mean of its divisors is an integer number (76687884).

Almost surely, 2^2532992352 is an apocalyptic number.

2532992352 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 2532992352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681018432).

2532992352 is an abundant number, since it is smaller than the sum of its proper divisors (4829044512).

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

2532992352 is a wasteful number, since it uses less digits than its factorization.

2532992352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35892 (or 35884 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The square root of 2532992352 is about 50328.8421484143. The cubic root of 2532992352 is about 1363.1530705538.

The spelling of 2532992352 in words is "two billion, five hundred thirty-two million, nine hundred ninety-two thousand, three hundred fifty-two".