2073806564256 has 432 divisors, whose sum is σ = 7159829223456. Its totient is φ = 588725190144.

The previous prime is 2073806564209. The next prime is 2073806564317. The reversal of 2073806564256 is 6524656083702.

2073806564256 is a `hidden beast` number, since 2 + 0 + 7 + 380 + 6 + 5 + 6 + 4 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59803435 + ... + 59838101.

It is an arithmetic number, because the mean of its divisors is an integer number (16573678758).

Almost surely, 2^{2073806564256} 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 2073806564256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579914611728).

2073806564256 is an abundant number, since it is smaller than the sum of its proper divisors (5086022659200).

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

2073806564256 is a wasteful number, since it uses less digits than its factorization.

2073806564256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34863 (or 34836 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 2073806564256 in words is "two trillion, seventy-three billion, eight hundred six million, five hundred sixty-four thousand, two hundred fifty-six".