2425082688 has 336 divisors, whose sum is σ = 8277295104. Its totient is φ = 664519680.

The previous prime is 2425082677. The next prime is 2425082711. The reversal of 2425082688 is 8862805242.

2425082688 is a `hidden beast` number, since 2 + 42 + 508 + 26 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×2425082688³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12696673 + ... + 12696863.

Almost surely, 2^2425082688 is an apocalyptic number.

2425082688 is a gapful number since it is divisible by the number (28) 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 2425082688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138647552).

2425082688 is an abundant number, since it is smaller than the sum of its proper divisors (5852212416).

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

2425082688 is a wasteful number, since it uses less digits than its factorization.

2425082688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 2425082688 is about 49245.1285712607. The cubic root of 2425082688 is about 1343.5139611568.

The spelling of 2425082688 in words is "two billion, four hundred twenty-five million, eighty-two thousand, six hundred eighty-eight".