2430629264 has 80 divisors (see below), whose sum is σ = 5998723200. Its totient is φ = 928806912.

The previous prime is 2430629239. The next prime is 2430629269. The reversal of 2430629264 is 4629260342.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (2430629269) 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, 2582 + ... + 69770.

It is an arithmetic number, because the mean of its divisors is an integer number (74984040).

Almost surely, 2^2430629264 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 2430629264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999361600).

2430629264 is an abundant number, since it is smaller than the sum of its proper divisors (3568093936).

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

2430629264 is a wasteful number, since it uses less digits than its factorization.

2430629264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67240 (or 67234 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The square root of 2430629264 is about 49301.4123935613. The cubic root of 2430629264 is about 1344.5374627858.

The spelling of 2430629264 in words is "two billion, four hundred thirty million, six hundred twenty-nine thousand, two hundred sixty-four".