2355005532 has 96 divisors (see below), whose sum is σ = 6183475200. Its totient is φ = 691499200.

The previous prime is 2355005507. The next prime is 2355005533.

2355005532 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2355005532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2355005533) 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, 550819 + ... + 555077.

It is an arithmetic number, because the mean of its divisors is an integer number (64411200).

Almost surely, 2^2355005532 is an apocalyptic number.

2355005532 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 2355005532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091737600).

2355005532 is an abundant number, since it is smaller than the sum of its proper divisors (3828469668).

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

2355005532 is a wasteful number, since it uses less digits than its factorization.

2355005532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4407 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 30.

The square root of 2355005532 is about 48528.3992317900. The cubic root of 2355005532 is about 1330.4461789058.

The spelling of 2355005532 in words is "two billion, three hundred fifty-five million, five thousand, five hundred thirty-two".