2255403360 has 480 divisors, whose sum is σ = 8809032960. Its totient is φ = 483646464.

The previous prime is 2255403347. The next prime is 2255403373. The reversal of 2255403360 is 633045522.

It is an interprime number because it is at equal distance from previous prime (2255403347) and next prime (2255403373).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21897069 + ... + 21897171.

It is an arithmetic number, because the mean of its divisors is an integer number (18352152).

Almost surely, 2^2255403360 is an apocalyptic number.

2255403360 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 2255403360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404516480).

2255403360 is an abundant number, since it is smaller than the sum of its proper divisors (6553629600).

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

2255403360 is a wasteful number, since it uses less digits than its factorization.

2255403360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 2255403360 is about 47491.0871638037. The cubic root of 2255403360 is about 1311.4188073728.

Adding to 2255403360 its reverse (633045522), we get a palindrome (2888448882).

The spelling of 2255403360 in words is "two billion, two hundred fifty-five million, four hundred three thousand, three hundred sixty".