2425646400 has 168 divisors, whose sum is σ = 8377306080. Its totient is φ = 612771840.

The previous prime is 2425646369. The next prime is 2425646413. The reversal of 2425646400 is 46465242.

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 23 ways as a sum of consecutive naturals, for example, 77902 + ... + 104498.

Almost surely, 2^2425646400 is an apocalyptic number.

2425646400 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 2425646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188653040).

2425646400 is an abundant number, since it is smaller than the sum of its proper divisors (5951659680).

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

2425646400 is a wasteful number, since it uses less digits than its factorization.

2425646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26641 (or 26626 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 2425646400 is about 49250.8517692842. The cubic root of 2425646400 is about 1343.6180533143.

The spelling of 2425646400 in words is "two billion, four hundred twenty-five million, six hundred forty-six thousand, four hundred".