2256315072 has 336 divisors, whose sum is σ = 7223942880. Its totient is φ = 618168320.

The previous prime is 2256315059. The next prime is 2256315091. The reversal of 2256315072 is 2705136522.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11453278 + ... + 11453474.

It is an arithmetic number, because the mean of its divisors is an integer number (21499830).

Almost surely, 2^2256315072 is an apocalyptic number.

2256315072 is a gapful number since it is divisible by the number (22) 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 2256315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611971440).

2256315072 is an abundant number, since it is smaller than the sum of its proper divisors (4967627808).

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

2256315072 is a wasteful number, since it uses less digits than its factorization.

2256315072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 2256315072 is about 47500.6849634824. The cubic root of 2256315072 is about 1311.5954905056.

The spelling of 2256315072 in words is "two billion, two hundred fifty-six million, three hundred fifteen thousand, seventy-two".