2254642048 has 128 divisors (see below), whose sum is σ = 4798569600. Its totient is φ = 1053911040.

The previous prime is 2254642043. The next prime is 2254642069. The reversal of 2254642048 is 8402464522.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2254641998 and 2254642016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254642043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17210943 + ... + 17211073.

It is an arithmetic number, because the mean of its divisors is an integer number (37488825).

Almost surely, 2^2254642048 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 2254642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399284800).

2254642048 is an abundant number, since it is smaller than the sum of its proper divisors (2543927552).

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

2254642048 is a wasteful number, since it uses less digits than its factorization.

2254642048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

The square root of 2254642048 is about 47483.0711727875. The cubic root of 2254642048 is about 1311.2712341788.

The spelling of 2254642048 in words is "two billion, two hundred fifty-four million, six hundred forty-two thousand, forty-eight".