2585303248920 has 128 divisors (see below), whose sum is σ = 8865795133440. Its totient is φ = 590799905280.

The previous prime is 2585303248901. The next prime is 2585303248921. The reversal of 2585303248920 is 298423035852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585303248921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3623310 + ... + 4277730.

It is an arithmetic number, because the mean of its divisors is an integer number (69264024480).

Almost surely, 2^{2585303248920} is an apocalyptic number.

2585303248920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2585303248920 is an abundant number, since it is smaller than the sum of its proper divisors (6280491884520).

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

2585303248920 is a wasteful number, since it uses less digits than its factorization.

2585303248920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659145 (or 659141 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 2585303248920 in words is "two trillion, five hundred eighty-five billion, three hundred three million, two hundred forty-eight thousand, nine hundred twenty".