2255340000 has 120 divisors (see below), whose sum is σ = 7398163080. Its totient is φ = 601408000.

The previous prime is 2255339963. The next prime is 2255340029. The reversal of 2255340000 is 435522.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41206 + ... + 78794.

It is an arithmetic number, because the mean of its divisors is an integer number (61651359).

Almost surely, 2^2255340000 is an apocalyptic number.

2255340000 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 2255340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699081540).

2255340000 is an abundant number, since it is smaller than the sum of its proper divisors (5142823080).

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

2255340000 is an equidigital number, since it uses as much as digits as its factorization.

2255340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37622 (or 37599 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2255340000 is about 47490.4200865817. The cubic root of 2255340000 is about 1311.4065268978.

Adding to 2255340000 its reverse (435522), we get a palindrome (2255775522).

The spelling of 2255340000 in words is "two billion, two hundred fifty-five million, three hundred forty thousand".