2254791840 has 288 divisors, whose sum is σ = 8488779264. Its totient is φ = 501258240.

The previous prime is 2254791823. The next prime is 2254791841. The reversal of 2254791840 is 481974522.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2254791792 and 2254791801.

It is not an unprimeable number, because it can be changed into a prime (2254791841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868945 + ... + 871535.

It is an arithmetic number, because the mean of its divisors is an integer number (29474928).

Almost surely, 2^2254791840 is an apocalyptic number.

2254791840 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 2254791840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244389632).

2254791840 is an abundant number, since it is smaller than the sum of its proper divisors (6233987424).

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

2254791840 is a wasteful number, since it uses less digits than its factorization.

2254791840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2254791840 is about 47484.6484666360. The cubic root of 2254791840 is about 1311.3002725785.

The spelling of 2254791840 in words is "two billion, two hundred fifty-four million, seven hundred ninety-one thousand, eight hundred forty".