2364334632 has 96 divisors (see below), whose sum is σ = 7174421280. Its totient is φ = 697092480.

The previous prime is 2364334627. The next prime is 2364334639.

2364334632 is a `hidden beast` number, since 2 + 3 + 643 + 3 + 4 + 6 + 3 + 2 = 666.

2364334632 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2364334639) 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, 11038 + ... + 69645.

It is an arithmetic number, because the mean of its divisors is an integer number (74733555).

Almost surely, 2^2364334632 is an apocalyptic number.

2364334632 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 2364334632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587210640).

2364334632 is an abundant number, since it is smaller than the sum of its proper divisors (4810086648).

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

2364334632 is a wasteful number, since it uses less digits than its factorization.

2364334632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80743 (or 80736 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The square root of 2364334632 is about 48624.4242330950. The cubic root of 2364334632 is about 1332.2006704675.

The spelling of 2364334632 in words is "two billion, three hundred sixty-four million, three hundred thirty-four thousand, six hundred thirty-two".