2425706300160 has 2880 divisors, whose sum is σ = 10969314048000. Its totient is φ = 503078584320.

The previous prime is 2425706300159. The next prime is 2425706300183. The reversal of 2425706300160 is 610036075242.

2425706300160 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 7 + 0 + 630 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 22254186186 + ... + 22254186294.

It is an arithmetic number, because the mean of its divisors is an integer number (3808789600).

Almost surely, 2^{2425706300160} is an apocalyptic number.

2425706300160 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 2425706300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484657024000).

2425706300160 is an abundant number, since it is smaller than the sum of its proper divisors (8543607747840).

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

2425706300160 is a wasteful number, since it uses less digits than its factorization.

2425706300160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 2425706300160 in words is "two trillion, four hundred twenty-five billion, seven hundred six million, three hundred thousand, one hundred sixty".