2256906240 has 288 divisors, whose sum is σ = 8120679840. Its totient is φ = 601178112.

The previous prime is 2256906229. The next prime is 2256906263. The reversal of 2256906240 is 426096522.

2256906240 is a `hidden beast` number, since 2 + 25 + 6 + 9 + 0 + 624 + 0 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2256906195 and 2256906204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2487867 + ... + 2488773.

It is an arithmetic number, because the mean of its divisors is an integer number (28196805).

Almost surely, 2^2256906240 is an apocalyptic number.

2256906240 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 2256906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060339920).

2256906240 is an abundant number, since it is smaller than the sum of its proper divisors (5863773600).

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

2256906240 is an frugal number, since it uses more digits than its factorization.

2256906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2256906240 is about 47506.9072872567. The cubic root of 2256906240 is about 1311.7100291155.

The spelling of 2256906240 in words is "two billion, two hundred fifty-six million, nine hundred six thousand, two hundred forty".