2425713984 has 84 divisors (see below), whose sum is σ = 6961778304. Its totient is φ = 807535872.

The previous prime is 2425713977. The next prime is 2425713989. The reversal of 2425713984 is 4893175242.

2425713984 is a `hidden beast` number, since 2 + 4 + 257 + 1 + 398 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425713989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 543249 + ... + 547695.

Almost surely, 2^2425713984 is an apocalyptic number.

2425713984 is a gapful number since it is divisible by the number (24) 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 2425713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480889152).

2425713984 is an abundant number, since it is smaller than the sum of its proper divisors (4536064320).

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

2425713984 is a wasteful number, since it uses less digits than its factorization.

2425713984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5412 (or 5399 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 2425713984 is about 49251.5378846184. The cubic root of 2425713984 is about 1343.6305319453.

The spelling of 2425713984 in words is "two billion, four hundred twenty-five million, seven hundred thirteen thousand, nine hundred eighty-four".