2425308480 has 280 divisors, whose sum is σ = 9860450688. Its totient is φ = 554314752.

The previous prime is 2425308469. The next prime is 2425308493. The reversal of 2425308480 is 848035242.

2425308480 is a `hidden beast` number, since 2 + 42 + 530 + 8 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 174757 + ... + 188123.

Almost surely, 2^2425308480 is an apocalyptic number.

2425308480 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 2425308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930225344).

2425308480 is an abundant number, since it is smaller than the sum of its proper divisors (7435142208).

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

2425308480 is a wasteful number, since it uses less digits than its factorization.

2425308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13403 (or 13384 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2425308480 is about 49247.4210492286. The cubic root of 2425308480 is about 1343.5556566821. Note that the first 3 decimals are identical.

The spelling of 2425308480 in words is "two billion, four hundred twenty-five million, three hundred eight thousand, four hundred eighty".