2425901875200 has 1632 divisors, whose sum is σ = 9673668940800. Its totient is φ = 594542592000.

The previous prime is 2425901875181. The next prime is 2425901875207. The reversal of 2425901875200 is 25781095242.

2425901875200 is a `hidden beast` number, since 2 + 4 + 2 + 590 + 1 + 8 + 7 + 52 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425901875207) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 39768883170 + ... + 39768883230.

Almost surely, 2^{2425901875200} is an apocalyptic number.

2425901875200 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 2425901875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836834470400).

2425901875200 is an abundant number, since it is smaller than the sum of its proper divisors (7247767065600).

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

2425901875200 is an equidigital number, since it uses as much as digits as its factorization.

2425901875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 2425901875200 in words is "two trillion, four hundred twenty-five billion, nine hundred one million, eight hundred seventy-five thousand, two hundred".