2425247352864 has 720 divisors, whose sum is σ = 8806668948000. Its totient is φ = 650571264000.

The previous prime is 2425247352859. The next prime is 2425247352889. The reversal of 2425247352864 is 4682537425242.

2425247352864 is a `hidden beast` number, since 2 + 4 + 2 + 52 + 4 + 7 + 3 + 528 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2425247352864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1077407739 + ... + 1077409989.

It is an arithmetic number, because the mean of its divisors is an integer number (12231484650).

Almost surely, 2^{2425247352864} is an apocalyptic number.

2425247352864 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 2425247352864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403334474000).

2425247352864 is an abundant number, since it is smaller than the sum of its proper divisors (6381421595136).

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

2425247352864 is a wasteful number, since it uses less digits than its factorization.

2425247352864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2779 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 54.

The spelling of 2425247352864 in words is "two trillion, four hundred twenty-five billion, two hundred forty-seven million, three hundred fifty-two thousand, eight hundred sixty-four".