2329820064 has 384 divisors, whose sum is σ = 8103110400. Its totient is φ = 641986560.

The previous prime is 2329820027. The next prime is 2329820081. The reversal of 2329820064 is 4600289232.

2329820064 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13467082 + ... + 13467254.

It is an arithmetic number, because the mean of its divisors is an integer number (21101850).

Almost surely, 2^2329820064 is an apocalyptic number.

2329820064 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 2329820064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051555200).

2329820064 is an abundant number, since it is smaller than the sum of its proper divisors (5773290336).

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

2329820064 is a wasteful number, since it uses less digits than its factorization.

2329820064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2329820064 is about 48268.2096622611. The cubic root of 2329820064 is about 1325.6863777851.

The spelling of 2329820064 in words is "two billion, three hundred twenty-nine million, eight hundred twenty thousand, sixty-four".