2254824000 has 896 divisors, whose sum is σ = 9852111360. Its totient is φ = 497664000.

The previous prime is 2254823999. The next prime is 2254824001. The reversal of 2254824000 is 4284522.

It is a happy number.

2254824000 is a `hidden beast` number, since 2 + 254 + 8 + 2 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2254823999) and next prime (2254824001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254824001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30887964 + ... + 30888036.

It is an arithmetic number, because the mean of its divisors is an integer number (10995660).

Almost surely, 2^2254824000 is an apocalyptic number.

2254824000 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 2254824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926055680).

2254824000 is an abundant number, since it is smaller than the sum of its proper divisors (7597287360).

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

2254824000 is a wasteful number, since it uses less digits than its factorization.

2254824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2254824000 is about 47484.9871011881. The cubic root of 2254824000 is about 1311.3065068889.

The spelling of 2254824000 in words is "two billion, two hundred fifty-four million, eight hundred twenty-four thousand".