2255784160 has 96 divisors (see below), whose sum is σ = 6138961920. Its totient is φ = 767273472.

The previous prime is 2255784149. The next prime is 2255784163. The reversal of 2255784160 is 614875522.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255784163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134311 + ... + 150169.

It is an arithmetic number, because the mean of its divisors is an integer number (63947520).

Almost surely, 2^2255784160 is an apocalyptic number.

2255784160 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 2255784160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069480960).

2255784160 is an abundant number, since it is smaller than the sum of its proper divisors (3883177760).

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

2255784160 is a wasteful number, since it uses less digits than its factorization.

2255784160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16008 (or 16000 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 2255784160 is about 47495.0961679203. The cubic root of 2255784160 is about 1311.4926094235.

The spelling of 2255784160 in words is "two billion, two hundred fifty-five million, seven hundred eighty-four thousand, one hundred sixty".