2255577984 has 384 divisors, whose sum is σ = 7561382400. Its totient is φ = 638668800.

The previous prime is 2255577959. The next prime is 2255578033. The reversal of 2255577984 is 4897755522.

2255577984 is a `hidden beast` number, since 2 + 2 + 5 + 557 + 7 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 2255577984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20693322 + ... + 20693430.

It is an arithmetic number, because the mean of its divisors is an integer number (19691100).

Almost surely, 2^2255577984 is an apocalyptic number.

2255577984 is a gapful number since it is divisible by the number (24) 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 2255577984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780691200).

2255577984 is an abundant number, since it is smaller than the sum of its proper divisors (5305804416).

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

2255577984 is a wasteful number, since it uses less digits than its factorization.

2255577984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The square root of 2255577984 is about 47492.9256205595. The cubic root of 2255577984 is about 1311.4526519158.

The spelling of 2255577984 in words is "two billion, two hundred fifty-five million, five hundred seventy-seven thousand, nine hundred eighty-four".