2826060808032 has 1152 divisors, whose sum is σ = 11366911180800. Its totient is φ = 672910156800.

The previous prime is 2826060808027. The next prime is 2826060808033. The reversal of 2826060808032 is 2308080606282.

2826060808032 is a `hidden beast` number, since 2 + 8 + 2 + 6 + 0 + 608 + 0 + 8 + 0 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2826060808033) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 274289793 + ... + 274300095.

It is an arithmetic number, because the mean of its divisors is an integer number (9867110400).

Almost surely, 2^{2826060808032} is an apocalyptic number.

2826060808032 is a gapful number since it is divisible by the number (22) 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 2826060808032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5683455590400).

2826060808032 is an abundant number, since it is smaller than the sum of its proper divisors (8540850372768).

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

2826060808032 is a wasteful number, since it uses less digits than its factorization.

2826060808032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10397 (or 10376 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2826060808032 in words is "two trillion, eight hundred twenty-six billion, sixty million, eight hundred eight thousand, thirty-two".