2425457664 has 396 divisors, whose sum is σ = 8409288888. Its totient is φ = 670924800.

The previous prime is 2425457647. The next prime is 2425457681. The reversal of 2425457664 is 4667545242.

2425457664 is a `hidden beast` number, since 2 + 42 + 545 + 7 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (2425457647) and next prime (2425457681).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18514879 + ... + 18515009.

It is an arithmetic number, because the mean of its divisors is an integer number (21235578).

Almost surely, 2^2425457664 is an apocalyptic number.

2425457664 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 2425457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204644444).

2425457664 is an abundant number, since it is smaller than the sum of its proper divisors (5983831224).

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

2425457664 is a wasteful number, since it uses less digits than its factorization.

2425457664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 184 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The square root of 2425457664 is about 49248.9356636263. The cubic root of 2425457664 is about 1343.5832040916.

It can be divided in two parts, 24254 and 57664, that added together give a palindrome (81918).

The spelling of 2425457664 in words is "two billion, four hundred twenty-five million, four hundred fifty-seven thousand, six hundred sixty-four".