2442595680120 has 128 divisors (see below), whose sum is σ = 7396096910400. Its totient is φ = 645288615936.

The previous prime is 2442595680103. The next prime is 2442595680223. The reversal of 2442595680120 is 210865952442.

2442595680120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2442595680120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176010622 + ... + 176024498.

Almost surely, 2^{2442595680120} is an apocalyptic number.

2442595680120 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 2442595680120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698048455200).

2442595680120 is an abundant number, since it is smaller than the sum of its proper divisors (4953501230280).

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

2442595680120 is a wasteful number, since it uses less digits than its factorization.

2442595680120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27457 (or 27453 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 2442595680120 in words is "two trillion, four hundred forty-two billion, five hundred ninety-five million, six hundred eighty thousand, one hundred twenty".