2317378464 has 144 divisors (see below), whose sum is σ = 6986589120. Its totient is φ = 747273600.

The previous prime is 2317378463. The next prime is 2317378537. The reversal of 2317378464 is 4648737132.

2317378464 is a `hidden beast` number, since 231 + 7 + 378 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2317378463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 828909 + ... + 831699.

It is an arithmetic number, because the mean of its divisors is an integer number (48517980).

Almost surely, 2^2317378464 is an apocalyptic number.

2317378464 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 2317378464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493294560).

2317378464 is an abundant number, since it is smaller than the sum of its proper divisors (4669210656).

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

2317378464 is a wasteful number, since it uses less digits than its factorization.

2317378464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2827 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 2317378464 is about 48139.1572838578. The cubic root of 2317378464 is about 1323.3223745339.

The spelling of 2317378464 in words is "two billion, three hundred seventeen million, three hundred seventy-eight thousand, four hundred sixty-four".