2254868928 has 336 divisors, whose sum is σ = 7610977920. Its totient is φ = 656169984.

The previous prime is 2254868897. The next prime is 2254868951. The reversal of 2254868928 is 8298684522.

It is a happy number.

2254868928 is a `hidden beast` number, since 2 + 2 + 548 + 6 + 8 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3841051 + ... + 3841637.

It is an arithmetic number, because the mean of its divisors is an integer number (22651720).

Almost surely, 2^2254868928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805488960).

2254868928 is an abundant number, since it is smaller than the sum of its proper divisors (5356108992).

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

2254868928 is a wasteful number, since it uses less digits than its factorization.

2254868928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 624 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 2254868928 is about 47485.4601746682. The cubic root of 2254868928 is about 1311.3152162142.

The spelling of 2254868928 in words is "two billion, two hundred fifty-four million, eight hundred sixty-eight thousand, nine hundred twenty-eight".