2425305792 has 224 divisors, whose sum is σ = 7967260672. Its totient is φ = 634023936.

The previous prime is 2425305769. The next prime is 2425305871. The reversal of 2425305792 is 2975035242.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2425305792.

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 31 ways as a sum of consecutive naturals, for example, 2218398 + ... + 2219490.

It is an arithmetic number, because the mean of its divisors is an integer number (35568128).

Almost surely, 2^2425305792 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 2425305792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983630336).

2425305792 is an abundant number, since it is smaller than the sum of its proper divisors (5541954880).

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

2425305792 is a wasteful number, since it uses less digits than its factorization.

2425305792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 2425305792 is about 49247.3937584518. The cubic root of 2425305792 is about 1343.5551603220. Note that the first 3 decimals are identical.

The spelling of 2425305792 in words is "two billion, four hundred twenty-five million, three hundred five thousand, seven hundred ninety-two".