2328214386560 has 128 divisors (see below), whose sum is σ = 5660127728640. Its totient is φ = 915533660160.

The previous prime is 2328214386539. The next prime is 2328214386569. The reversal of 2328214386560 is 656834128232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2328214386499 and 2328214386508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328214386569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78728897 + ... + 78758463.

It is an arithmetic number, because the mean of its divisors is an integer number (44219747880).

Almost surely, 2^{2328214386560} is an apocalyptic number.

2328214386560 is a gapful number since it is divisible by the number (20) 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 2328214386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830063864320).

2328214386560 is an abundant number, since it is smaller than the sum of its proper divisors (3331913342080).

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

2328214386560 is a wasteful number, since it uses less digits than its factorization.

2328214386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31664 (or 31652 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 50.

The spelling of 2328214386560 in words is "two trillion, three hundred twenty-eight billion, two hundred fourteen million, three hundred eighty-six thousand, five hundred sixty".