2256386880 has 224 divisors, whose sum is σ = 8275685760. Its totient is φ = 514785280.

The previous prime is 2256386833. The next prime is 2256386911. The reversal of 2256386880 is 886836522.

2256386880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2256386880² = 10182563504472268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173236 + ... + 185804.

Almost surely, 2^2256386880 is an apocalyptic number.

2256386880 is a gapful number since it is divisible by the number (20) 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 2256386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137842880).

2256386880 is an abundant number, since it is smaller than the sum of its proper divisors (6019298880).

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

2256386880 is a wasteful number, since it uses less digits than its factorization.

2256386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12617 (or 12607 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 2256386880 is about 47501.4408202530. The cubic root of 2256386880 is about 1311.6094043499.

The spelling of 2256386880 in words is "two billion, two hundred fifty-six million, three hundred eighty-six thousand, eight hundred eighty".