2254879242 has 64 divisors (see below), whose sum is σ = 6247296000. Its totient is φ = 585681840.

The previous prime is 2254879241. The next prime is 2254879243. The reversal of 2254879242 is 2429784522.

It is an interprime number because it is at equal distance from previous prime (2254879241) and next prime (2254879243).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2254879241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266992 + ... + 275307.

It is an arithmetic number, because the mean of its divisors is an integer number (97614000).

Almost surely, 2^2254879242 is an apocalyptic number.

2254879242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2254879242 is an abundant number, since it is smaller than the sum of its proper divisors (3992416758).

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

2254879242 is a wasteful number, since it uses less digits than its factorization.

2254879242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542328 (or 542322 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2254879242 is about 47485.5687762082. The cubic root of 2254879242 is about 1311.3172155743.

The spelling of 2254879242 in words is "two billion, two hundred fifty-four million, eight hundred seventy-nine thousand, two hundred forty-two".