2255873040 has 240 divisors, whose sum is σ = 8057162880. Its totient is φ = 564019200.

The previous prime is 2255873033. The next prime is 2255873093. The reversal of 2255873040 is 403785522.

2255873040 is a `hidden beast` number, since 2 + 2 + 5 + 587 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 2255872986 and 2255873004.

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, 1408240 + ... + 1409840.

It is an arithmetic number, because the mean of its divisors is an integer number (33571512).

Almost surely, 2^2255873040 is an apocalyptic number.

2255873040 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 2255873040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028581440).

2255873040 is an abundant number, since it is smaller than the sum of its proper divisors (5801289840).

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

2255873040 is a wasteful number, since it uses less digits than its factorization.

2255873040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2255873040 is about 47496.0318342491. The cubic root of 2255873040 is about 1311.5098338746.

The spelling of 2255873040 in words is "two billion, two hundred fifty-five million, eight hundred seventy-three thousand, forty".