2255012928 has 252 divisors, whose sum is σ = 7598199180. Its totient is φ = 637507584.

The previous prime is 2255012927. The next prime is 2255012939. The reversal of 2255012928 is 8292105522.

2255012928 is a `hidden beast` number, since 2 + 2 + 550 + 12 + 92 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1967099904 + 287913024 = 44352^2 + 16968^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2255012892 and 2255012901.

It is not an unprimeable number, because it can be changed into a prime (2255012927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3076050 + ... + 3076782.

Almost surely, 2^2255012928 is an apocalyptic number.

2255012928 is a gapful number since it is divisible by the number (28) 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 2255012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799099590).

2255012928 is an abundant number, since it is smaller than the sum of its proper divisors (5343186252).

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

2255012928 is a wasteful number, since it uses less digits than its factorization.

2255012928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2255012928 is about 47486.9764040626. The cubic root of 2255012928 is about 1311.3431299390.

The spelling of 2255012928 in words is "two billion, two hundred fifty-five million, twelve thousand, nine hundred twenty-eight".