2321400064 has 72 divisors (see below), whose sum is σ = 4767507360. Its totient is φ = 1127497728.

The previous prime is 2321400061. The next prime is 2321400071. The reversal of 2321400064 is 4600041232.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2321400061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2498352 + ... + 2499280.

It is an arithmetic number, because the mean of its divisors is an integer number (66215380).

Almost surely, 2^2321400064 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 2321400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383753680).

2321400064 is an abundant number, since it is smaller than the sum of its proper divisors (2446107296).

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

2321400064 is an equidigital number, since it uses as much as digits as its factorization.

2321400064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2321400064 is about 48180.9097464961. The cubic root of 2321400064 is about 1324.0874340996.

Adding to 2321400064 its reverse (4600041232), we get a palindrome (6921441296).

The spelling of 2321400064 in words is "two billion, three hundred twenty-one million, four hundred thousand, sixty-four".