2982935807856 has 240 divisors, whose sum is σ = 8527176621600. Its totient is φ = 973192568832.

The previous prime is 2982935807833. The next prime is 2982935808007. The reversal of 2982935807856 is 6587085392892.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1093049500 + ... + 1093052228.

It is an arithmetic number, because the mean of its divisors is an integer number (35529902590).

Almost surely, 2^{2982935807856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2982935807856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263588310800).

2982935807856 is an abundant number, since it is smaller than the sum of its proper divisors (5544240813744).

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

2982935807856 is a wasteful number, since it uses less digits than its factorization.

2982935807856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 2982935807856 in words is "two trillion, nine hundred eighty-two billion, nine hundred thirty-five million, eight hundred seven thousand, eight hundred fifty-six".