2254889520 has 480 divisors, whose sum is σ = 8891430912. Its totient is φ = 506953728.

The previous prime is 2254889453. The next prime is 2254889569. The reversal of 2254889520 is 259884522.

2254889520 is a `hidden beast` number, since 2 + 2 + 5 + 48 + 89 + 520 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 5887249 + ... + 5887631.

Almost surely, 2^2254889520 is an apocalyptic number.

2254889520 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 2254889520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445715456).

2254889520 is an abundant number, since it is smaller than the sum of its proper divisors (6636541392).

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

2254889520 is a wasteful number, since it uses less digits than its factorization.

2254889520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2254889520 is about 47485.6769984382. The cubic root of 2254889520 is about 1311.3192079497.

The spelling of 2254889520 in words is "two billion, two hundred fifty-four million, eight hundred eighty-nine thousand, five hundred twenty".