2345510664 has 96 divisors (see below), whose sum is σ = 7289231040. Its totient is φ = 667440000.

The previous prime is 2345510641. The next prime is 2345510693. The reversal of 2345510664 is 4660155432.

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 23 ways as a sum of consecutive naturals, for example, 117234 + ... + 135774.

It is an arithmetic number, because the mean of its divisors is an integer number (75929490).

Almost surely, 2^2345510664 is an apocalyptic number.

2345510664 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 2345510664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644615520).

2345510664 is an abundant number, since it is smaller than the sum of its proper divisors (4943720376).

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

2345510664 is a wasteful number, since it uses less digits than its factorization.

2345510664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18811 (or 18804 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2345510664 is about 48430.4724734335. The cubic root of 2345510664 is about 1328.6557477232.

The spelling of 2345510664 in words is "two billion, three hundred forty-five million, five hundred ten thousand, six hundred sixty-four".