2495585272320 has 2880 divisors, whose sum is σ = 11410669670400. Its totient is φ = 519202897920.

The previous prime is 2495585272309. The next prime is 2495585272361. The reversal of 2495585272320 is 232725855942.

It is a happy number.

2495585272320 is a `hidden beast` number, since 2 + 4 + 9 + 5 + 585 + 27 + 2 + 32 + 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 (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17953850811 + ... + 17953850949.

It is an arithmetic number, because the mean of its divisors is an integer number (3962038080).

Almost surely, 2^{2495585272320} is an apocalyptic number.

2495585272320 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 2495585272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705334835200).

2495585272320 is an abundant number, since it is smaller than the sum of its proper divisors (8915084398080).

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

2495585272320 is a wasteful number, since it uses less digits than its factorization.

2495585272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 2495585272320 in words is "two trillion, four hundred ninety-five billion, five hundred eighty-five million, two hundred seventy-two thousand, three hundred twenty".