2430104664 has 64 divisors (see below), whose sum is σ = 6554016000. Its totient is φ = 746418816.

The previous prime is 2430104653. The next prime is 2430104671. The reversal of 2430104664 is 4664010342.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 180387 + ... + 193389.

It is an arithmetic number, because the mean of its divisors is an integer number (102406500).

Almost surely, 2^2430104664 is an apocalyptic number.

2430104664 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 2430104664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277008000).

2430104664 is an abundant number, since it is smaller than the sum of its proper divisors (4123911336).

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

2430104664 is a wasteful number, since it uses less digits than its factorization.

2430104664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13624 (or 13620 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2430104664 is about 49296.0917720665. The cubic root of 2430104664 is about 1344.4407258195.

The spelling of 2430104664 in words is "two billion, four hundred thirty million, one hundred four thousand, six hundred sixty-four".