2546330256 has 200 divisors, whose sum is σ = 7620621624. Its totient is φ = 820316160.

The previous prime is 2546330249. The next prime is 2546330257. The reversal of 2546330256 is 6520336452.

2546330256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 74649600 + 2471680656 = 8640^2 + 49716^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2546330256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2546330257) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9192390 + ... + 9192666.

Almost surely, 2^2546330256 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 2546330256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810310812).

2546330256 is an abundant number, since it is smaller than the sum of its proper divisors (5074291368).

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

2546330256 is a wasteful number, since it uses less digits than its factorization.

2546330256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 2546330256 is about 50461.1757294655. The cubic root of 2546330256 is about 1365.5415216448.

The spelling of 2546330256 in words is "two billion, five hundred forty-six million, three hundred thirty thousand, two hundred fifty-six".