2936883496960 has 192 divisors, whose sum is σ = 8060708597760. Its totient is φ = 1006028390400.

The previous prime is 2936883496907. The next prime is 2936883496969. The reversal of 2936883496960 is 696943886392.

It is not an unprimeable number, because it can be changed into a prime (2936883496969) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 82485882 + ... + 82521478.

It is an arithmetic number, because the mean of its divisors is an integer number (41982857280).

Almost surely, 2^{2936883496960} is an apocalyptic number.

2936883496960 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 2936883496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030354298880).

2936883496960 is an abundant number, since it is smaller than the sum of its proper divisors (5123825100800).

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

2936883496960 is a wasteful number, since it uses less digits than its factorization.

2936883496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36782 (or 36762 counting only the distinct ones).

The product of its (nonzero) digits is 725594112, while the sum is 73.

The spelling of 2936883496960 in words is "two trillion, nine hundred thirty-six billion, eight hundred eighty-three million, four hundred ninety-six thousand, nine hundred sixty".