2255013320 has 192 divisors, whose sum is σ = 6183702000. Its totient is φ = 736985088.

The previous prime is 2255013317. The next prime is 2255013323. The reversal of 2255013320 is 233105522.

It is an interprime number because it is at equal distance from previous prime (2255013317) and next prime (2255013323).

It can be written as a sum of positive squares in 8 ways, for example, as 1481172196 + 773841124 = 38486^2 + 27818^2 .

It is not an unprimeable number, because it can be changed into a prime (2255013323) by changing a digit.

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, 5513276 + ... + 5513684.

Almost surely, 2^2255013320 is an apocalyptic number.

2255013320 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 2255013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091851000).

2255013320 is an abundant number, since it is smaller than the sum of its proper divisors (3928688680).

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

2255013320 is a wasteful number, since it uses less digits than its factorization.

2255013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 2255013320 is about 47486.9805315099. The cubic root of 2255013320 is about 1311.3432059247.

Adding to 2255013320 its reverse (233105522), we get a palindrome (2488118842).

The spelling of 2255013320 in words is "two billion, two hundred fifty-five million, thirteen thousand, three hundred twenty".