2978956418256 has 720 divisors, whose sum is σ = 11164302938880. Its totient is φ = 733149204480.

The previous prime is 2978956418203. The next prime is 2978956418257. The reversal of 2978956418256 is 6528146598792.

2978956418256 is a `hidden beast` number, since 2 + 9 + 7 + 8 + 9 + 564 + 1 + 8 + 2 + 56 = 666.

It is a super-3 number, since 3×2978956418256³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2978956418257) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86482285 + ... + 86516723.

It is an arithmetic number, because the mean of its divisors is an integer number (15505976304).

Almost surely, 2^{2978956418256} is an apocalyptic number.

2978956418256 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 2978956418256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582151469440).

2978956418256 is an abundant number, since it is smaller than the sum of its proper divisors (8185346520624).

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

2978956418256 is a wasteful number, since it uses less digits than its factorization.

2978956418256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34544 (or 34528 counting only the distinct ones).

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

The spelling of 2978956418256 in words is "two trillion, nine hundred seventy-eight billion, nine hundred fifty-six million, four hundred eighteen thousand, two hundred fifty-six".