2430500664 has 64 divisors (see below), whose sum is σ = 6259680000. Its totient is φ = 785934080.

The previous prime is 2430500651. The next prime is 2430500669. The reversal of 2430500664 is 4660050342.

It is a super-3 number, since 3×2430500664³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430500669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169237 + ... + 183035.

It is an arithmetic number, because the mean of its divisors is an integer number (97807500).

Almost surely, 2^2430500664 is an apocalyptic number.

2430500664 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 2430500664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129840000).

2430500664 is an abundant number, since it is smaller than the sum of its proper divisors (3829179336).

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

2430500664 is a wasteful number, since it uses less digits than its factorization.

2430500664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14028 (or 14024 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2430500664 is about 49300.1081540396. The cubic root of 2430500664 is about 1344.5137500557.

The spelling of 2430500664 in words is "two billion, four hundred thirty million, five hundred thousand, six hundred sixty-four".