2329977636 has 360 divisors, whose sum is σ = 7664774040. Its totient is φ = 613122048.

The previous prime is 2329977613. The next prime is 2329977641. The reversal of 2329977636 is 6367799232.

It can be written as a sum of positive squares in 4 ways, for example, as 272448036 + 2057529600 = 16506^2 + 45360^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 24020340 + ... + 24020436.

It is an arithmetic number, because the mean of its divisors is an integer number (21291039).

Almost surely, 2^2329977636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2329977636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832387020).

2329977636 is an abundant number, since it is smaller than the sum of its proper divisors (5334796404).

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

2329977636 is a wasteful number, since it uses less digits than its factorization.

2329977636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 2329977636 is about 48269.8418891133. The cubic root of 2329977636 is about 1325.7162636903.

The spelling of 2329977636 in words is "two billion, three hundred twenty-nine million, nine hundred seventy-seven thousand, six hundred thirty-six".