2279742240 has 48 divisors (see below), whose sum is σ = 7181189568. Its totient is φ = 607931136.

The previous prime is 2279742239. The next prime is 2279742247. The reversal of 2279742240 is 422479722.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2279742247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2374252 + ... + 2375211.

It is an arithmetic number, because the mean of its divisors is an integer number (149608116).

Almost surely, 2^2279742240 is an apocalyptic number.

2279742240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2279742240 is an abundant number, since it is smaller than the sum of its proper divisors (4901447328).

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

2279742240 is a wasteful number, since it uses less digits than its factorization.

2279742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749481 (or 4749473 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 2279742240 is about 47746.6463743790. The cubic root of 2279742240 is about 1316.1192723942.

The spelling of 2279742240 in words is "two billion, two hundred seventy-nine million, seven hundred forty-two thousand, two hundred forty".