2345484960 has 432 divisors, whose sum is σ = 10030869576. Its totient is φ = 494678016.

The previous prime is 2345484959. The next prime is 2345484971. The reversal of 2345484960 is 694845432.

2345484960 is a `hidden beast` number, since 2 + 3 + 4 + 548 + 49 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1384732944 + 960752016 = 37212^2 + 30996^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 916002 + ... + 918558.

Almost surely, 2^2345484960 is an apocalyptic number.

2345484960 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 2345484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015434788).

2345484960 is an abundant number, since it is smaller than the sum of its proper divisors (7685384616).

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

2345484960 is a wasteful number, since it uses less digits than its factorization.

2345484960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2345484960 is about 48430.2071025925. The cubic root of 2345484960 is about 1328.6508942112.

The spelling of 2345484960 in words is "two billion, three hundred forty-five million, four hundred eighty-four thousand, nine hundred sixty".