2307790464 has 256 divisors, whose sum is σ = 7487616000. Its totient is φ = 615112704.

The previous prime is 2307790427. The next prime is 2307790489. The reversal of 2307790464 is 4640977032.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3727947 + ... + 3728565.

It is an arithmetic number, because the mean of its divisors is an integer number (29248500).

Almost surely, 2^2307790464 is an apocalyptic number.

2307790464 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 2307790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743808000).

2307790464 is an abundant number, since it is smaller than the sum of its proper divisors (5179825536).

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

2307790464 is a wasteful number, since it uses less digits than its factorization.

2307790464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 2307790464 is about 48039.4677739044. The cubic root of 2307790464 is about 1321.4947988106.

The spelling of 2307790464 in words is "two billion, three hundred seven million, seven hundred ninety thousand, four hundred sixty-four".