2310361664 has 56 divisors (see below), whose sum is σ = 4943401848. Its totient is φ = 1065000960.

The previous prime is 2310361643. The next prime is 2310361679. The reversal of 2310361664 is 4661630132.

It can be written as a sum of positive squares in 4 ways, for example, as 1296576064 + 1013785600 = 36008^2 + 31840^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2310361664.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1078034 + ... + 1080174.

It is an arithmetic number, because the mean of its divisors is an integer number (88275033).

Almost surely, 2^2310361664 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 2310361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471700924).

2310361664 is an abundant number, since it is smaller than the sum of its proper divisors (2633040184).

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

2310361664 is a wasteful number, since it uses less digits than its factorization.

2310361664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 2310361664 is about 48066.2216530486. The cubic root of 2310361664 is about 1321.9853930790.

Adding to 2310361664 its reverse (4661630132), we get a palindrome (6971991796).

The spelling of 2310361664 in words is "two billion, three hundred ten million, three hundred sixty-one thousand, six hundred sixty-four".