2255964480 has 448 divisors, whose sum is σ = 9925263360. Its totient is φ = 468633600.

The previous prime is 2255964467. The next prime is 2255964497. The reversal of 2255964480 is 844695522.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 663585 + ... + 666975.

Almost surely, 2^2255964480 is an apocalyptic number.

2255964480 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 2255964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962631680).

2255964480 is an abundant number, since it is smaller than the sum of its proper divisors (7669298880).

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

2255964480 is a wasteful number, since it uses less digits than its factorization.

2255964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2255964480 is about 47496.9944312269. The cubic root of 2255964480 is about 1311.5275539674.

The spelling of 2255964480 in words is "two billion, two hundred fifty-five million, nine hundred sixty-four thousand, four hundred eighty".