2475836098560 has 1008 divisors, whose sum is σ = 9793646176860. Its totient is φ = 599983718400.

The previous prime is 2475836098529. The next prime is 2475836098591. The reversal of 2475836098560 is 658906385742.

It is a happy number.

2475836098560 is a `hidden beast` number, since 2 + 4 + 7 + 5 + 8 + 3 + 60 + 9 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2475836098529) and next prime (2475836098591).

It can be written as a sum of positive squares in 2 ways, for example, as 2399871919104 + 75964179456 = 1549152^2 + 275616^2 .

It is a super-2 number, since 2×2475836098560² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 83 ways as a sum of consecutive naturals, for example, 903258790 + ... + 903261530.

Almost surely, 2^{2475836098560} is an apocalyptic number.

2475836098560 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 2475836098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896823088430).

2475836098560 is an abundant number, since it is smaller than the sum of its proper divisors (7317810078300).

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

2475836098560 is an equidigital number, since it uses as much as digits as its factorization.

2475836098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 2475836098560 in words is "two trillion, four hundred seventy-five billion, eight hundred thirty-six million, ninety-eight thousand, five hundred sixty".