2078907620256 has 288 divisors, whose sum is σ = 6366557957760. Its totient is φ = 666510695424.

The previous prime is 2078907620191. The next prime is 2078907620261. The reversal of 2078907620256 is 6520267098702.

2078907620256 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 9 + 0 + 7 + 620 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59290026 + ... + 59325078.

It is an arithmetic number, because the mean of its divisors is an integer number (22106104020).

Almost surely, 2^{2078907620256} 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 2078907620256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183278978880).

2078907620256 is an abundant number, since it is smaller than the sum of its proper divisors (4287650337504).

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

2078907620256 is a wasteful number, since it uses less digits than its factorization.

2078907620256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35370 (or 35350 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2078907620256 in words is "two trillion, seventy-eight billion, nine hundred seven million, six hundred twenty thousand, two hundred fifty-six".