2425909248000 has 2304 divisors, whose sum is σ = 10908840758400. Its totient is φ = 515270246400.

The previous prime is 2425909247999. The next prime is 2425909248083. The reversal of 2425909248000 is 8429095242.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30707711961 + ... + 30707712039.

Almost surely, 2^{2425909248000} is an apocalyptic number.

2425909248000 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 2425909248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5454420379200).

2425909248000 is an abundant number, since it is smaller than the sum of its proper divisors (8482931510400).

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

2425909248000 is an equidigital number, since it uses as much as digits as its factorization.

2425909248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2425909248000 in words is "two trillion, four hundred twenty-five billion, nine hundred nine million, two hundred forty-eight thousand".