2255813040 has 160 divisors (see below), whose sum is σ = 7734879936. Its totient is φ = 540241920.

The previous prime is 2255813029. The next prime is 2255813041. The reversal of 2255813040 is 403185522.

2255813040 is digitally balanced in base 2 and base 4, because in such bases 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 2255812989 and 2255813007.

It is not an unprimeable number, because it can be changed into a prime (2255813041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105670 + ... + 125210.

Almost surely, 2^2255813040 is an apocalyptic number.

2255813040 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 2255813040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867439968).

2255813040 is an abundant number, since it is smaller than the sum of its proper divisors (5479066896).

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

2255813040 is a wasteful number, since it uses less digits than its factorization.

2255813040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19607 (or 19601 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2255813040 is about 47495.4001983350. The cubic root of 2255813040 is about 1311.4982062570.

Adding to 2255813040 its reverse (403185522), we get a palindrome (2658998562).

The spelling of 2255813040 in words is "two billion, two hundred fifty-five million, eight hundred thirteen thousand, forty".