2430883306264 has 128 divisors (see below), whose sum is σ = 5369903424000. Its totient is φ = 1010225120256.

The previous prime is 2430883306253. The next prime is 2430883306273. The reversal of 2430883306264 is 4626033880342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75785622 + ... + 75817690.

It is an arithmetic number, because the mean of its divisors is an integer number (41952370500).

Almost surely, 2^{2430883306264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430883306264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684951712000).

2430883306264 is an abundant number, since it is smaller than the sum of its proper divisors (2939020117736).

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

2430883306264 is a wasteful number, since it uses less digits than its factorization.

2430883306264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32465 (or 32461 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 49.

The spelling of 2430883306264 in words is "two trillion, four hundred thirty billion, eight hundred eighty-three million, three hundred six thousand, two hundred sixty-four".