2255869840 has 160 divisors (see below), whose sum is σ = 6160320000. Its totient is φ = 767918592.

The previous prime is 2255869823. The next prime is 2255869873. The reversal of 2255869840 is 489685522.

It is a happy number.

2255869840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 6283581 + ... + 6283939.

It is an arithmetic number, because the mean of its divisors is an integer number (38502000).

Almost surely, 2^2255869840 is an apocalyptic number.

2255869840 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 2255869840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080160000).

2255869840 is an abundant number, since it is smaller than the sum of its proper divisors (3904450160).

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

2255869840 is a wasteful number, since it uses less digits than its factorization.

2255869840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

The square root of 2255869840 is about 47495.9981472124. The cubic root of 2255869840 is about 1311.5092137402.

The spelling of 2255869840 in words is "two billion, two hundred fifty-five million, eight hundred sixty-nine thousand, eight hundred forty".