2425305960 has 576 divisors, whose sum is σ = 10371628800. Its totient is φ = 485452800.

The previous prime is 2425305959. The next prime is 2425305983. The reversal of 2425305960 is 695035242.

It is a super-2 number, since 2×2425305960² = 11764217999223043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5626945 + ... + 5627375.

It is an arithmetic number, because the mean of its divisors is an integer number (18006300).

Almost surely, 2^2425305960 is an apocalyptic number.

2425305960 is a gapful number since it is divisible by the number (20) 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 2425305960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185814400).

2425305960 is an abundant number, since it is smaller than the sum of its proper divisors (7946322840).

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

2425305960 is a wasteful number, since it uses less digits than its factorization.

2425305960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2425305960 is about 49247.3954641258. The cubic root of 2425305960 is about 1343.5551913446. Note that the first 3 decimals are identical.

The spelling of 2425305960 in words is "two billion, four hundred twenty-five million, three hundred five thousand, nine hundred sixty".