2993313488256 has 512 divisors, whose sum is σ = 10942583500800. Its totient is φ = 784404062208.

The previous prime is 2993313488237. The next prime is 2993313488257. The reversal of 2993313488256 is 6528843133992.

2993313488256 is a `hidden beast` number, since 2 + 9 + 9 + 3 + 31 + 348 + 8 + 256 = 666.

2993313488256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2993313488193 and 2993313488202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2993313488257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49345561 + ... + 49406183.

It is an arithmetic number, because the mean of its divisors is an integer number (21372233400).

Almost surely, 2^{2993313488256} is an apocalyptic number.

2993313488256 is a gapful number since it is divisible by the number (26) 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 2993313488256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5471291750400).

2993313488256 is an abundant number, since it is smaller than the sum of its proper divisors (7949270012544).

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

2993313488256 is a wasteful number, since it uses less digits than its factorization.

2993313488256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60823 (or 60805 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 2993313488256 in words is "two trillion, nine hundred ninety-three billion, three hundred thirteen million, four hundred eighty-eight thousand, two hundred fifty-six".