2365005632 has 28 divisors (see below), whose sum is σ = 5119701216. Its totient is φ = 1075002240.

The previous prime is 2365005611. The next prime is 2365005637.

2365005632 is nontrivially palindromic in base 10.

2365005632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2365005637) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1678988 + ... + 1680395.

It is an arithmetic number, because the mean of its divisors is an integer number (182846472).

Almost surely, 2^2365005632 is an apocalyptic number.

2365005632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2365005632 is an abundant number, since it is smaller than the sum of its proper divisors (2754695584).

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

2365005632 is a wasteful number, since it uses less digits than its factorization.

2365005632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359406 (or 3359396 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The square root of 2365005632 is about 48631.3235682518. The cubic root of 2365005632 is about 1332.3266850746.

The spelling of 2365005632 in words is "two billion, three hundred sixty-five million, five thousand, six hundred thirty-two".