2078941316256 has 480 divisors, whose sum is σ = 7091219520000. Its totient is φ = 585204092928.

The previous prime is 2078941316251. The next prime is 2078941316273. The reversal of 2078941316256 is 6526131498702.

It is a happy number.

2078941316256 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 9 + 4 + 1 + 3 + 1 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2078941316251) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 815589670 + ... + 815592218.

It is an arithmetic number, because the mean of its divisors is an integer number (14773374000).

It is a 1-persistent number, because it is pandigital, but 2⋅2078941316256 = 4157882632512 is not.

Almost surely, 2^{2078941316256} 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 2078941316256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545609760000).

2078941316256 is an abundant number, since it is smaller than the sum of its proper divisors (5012278203744).

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

2078941316256 is a wasteful number, since it uses less digits than its factorization.

2078941316256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2078941316256 in words is "two trillion, seventy-eight billion, nine hundred forty-one million, three hundred sixteen thousand, two hundred fifty-six".