2255826240 has 224 divisors, whose sum is σ = 8013557760. Its totient is φ = 597362688.

The previous prime is 2255826239. The next prime is 2255826263. The reversal of 2255826240 is 426285522.

2255826240 is a `hidden beast` number, since 2 + 2 + 558 + 2 + 62 + 40 = 666.

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 = 2255826195 and 2255826204.

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 31 ways as a sum of consecutive naturals, for example, 1355649 + ... + 1357311.

Almost surely, 2^2255826240 is an apocalyptic number.

2255826240 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 2255826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006778880).

2255826240 is an abundant number, since it is smaller than the sum of its proper divisors (5757731520).

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

2255826240 is a wasteful number, since it uses less digits than its factorization.

2255826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2255826240 is about 47495.5391589568. The cubic root of 2255826240 is about 1311.5007643505.

The spelling of 2255826240 in words is "two billion, two hundred fifty-five million, eight hundred twenty-six thousand, two hundred forty".