2254974240 has 96 divisors (see below), whose sum is σ = 7113173760. Its totient is φ = 600479744.

The previous prime is 2254974203. The next prime is 2254974247. The reversal of 2254974240 is 424794522.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2254974247) 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 15 ways as a sum of consecutive naturals, for example, 385417 + ... + 391223.

It is an arithmetic number, because the mean of its divisors is an integer number (74095560).

Almost surely, 2^2254974240 is an apocalyptic number.

2254974240 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 2254974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556586880).

2254974240 is an abundant number, since it is smaller than the sum of its proper divisors (4858199520).

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

2254974240 is a wasteful number, since it uses less digits than its factorization.

2254974240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6634 (or 6626 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2254974240 is about 47486.5690485215. The cubic root of 2254974240 is about 1311.3356305683.

The spelling of 2254974240 in words is "two billion, two hundred fifty-four million, nine hundred seventy-four thousand, two hundred forty".