2332721664 has 240 divisors, whose sum is σ = 8287511232. Its totient is φ = 615112704.

The previous prime is 2332721641. The next prime is 2332721681. The reversal of 2332721664 is 4661272332.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416547 + ... + 422109.

Almost surely, 2^2332721664 is an apocalyptic number.

2332721664 is a gapful number since it is divisible by the number (24) 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 2332721664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143755616).

2332721664 is an abundant number, since it is smaller than the sum of its proper divisors (5954789568).

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

2332721664 is a wasteful number, since it uses less digits than its factorization.

2332721664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5607 (or 5588 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 2332721664 is about 48298.2573598676. The cubic root of 2332721664 is about 1326.2364940619.

Adding to 2332721664 its reverse (4661272332), we get a palindrome (6993993996).

The spelling of 2332721664 in words is "two billion, three hundred thirty-two million, seven hundred twenty-one thousand, six hundred sixty-four".