2817825482960 has 80 divisors (see below), whose sum is σ = 6691332727296. Its totient is φ = 1103066916864.

The previous prime is 2817825482933. The next prime is 2817825483029. The reversal of 2817825482960 is 692845287182.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2817825482893 and 2817825482902.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 86678069 + ... + 86710571.

Almost surely, 2^{2817825482960} is an apocalyptic number.

2817825482960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2817825482960 is an abundant number, since it is smaller than the sum of its proper divisors (3873507244336).

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

2817825482960 is a wasteful number, since it uses less digits than its factorization.

2817825482960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55620 (or 55614 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 62.

The spelling of 2817825482960 in words is "two trillion, eight hundred seventeen billion, eight hundred twenty-five million, four hundred eighty-two thousand, nine hundred sixty".