2254643424 has 288 divisors, whose sum is σ = 7434370944. Its totient is φ = 666247680.

The previous prime is 2254643401. The next prime is 2254643429. The reversal of 2254643424 is 4243464522.

2254643424 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 643 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254643429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3677742 + ... + 3678354.

It is an arithmetic number, because the mean of its divisors is an integer number (25813788).

Almost surely, 2^2254643424 is an apocalyptic number.

2254643424 is a gapful number since it is divisible by the number (24) 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 2254643424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717185472).

2254643424 is an abundant number, since it is smaller than the sum of its proper divisors (5179727520).

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

2254643424 is a wasteful number, since it uses less digits than its factorization.

2254643424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 672 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

The square root of 2254643424 is about 47483.0856621597. The cubic root of 2254643424 is about 1311.2715009335.

The spelling of 2254643424 in words is "two billion, two hundred fifty-four million, six hundred forty-three thousand, four hundred twenty-four".