2479229742 has 32 divisors (see below), whose sum is σ = 5453950464. Its totient is φ = 751279320.

The previous prime is 2479229741. The next prime is 2479229747.

2479229742 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2479229742³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2479229691 and 2479229700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2479229741) 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, 147238 + ... + 163209.

It is an arithmetic number, because the mean of its divisors is an integer number (170435952).

Almost surely, 2^2479229742 is an apocalyptic number.

2479229742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2479229742 is an abundant number, since it is smaller than the sum of its proper divisors (2974720722).

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

2479229742 is a wasteful number, since it uses less digits than its factorization.

2479229742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310485 (or 310463 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 2479229742 is about 49791.8642149498. The cubic root of 2479229742 is about 1353.4397407308.

It can be divided in two parts, 2479 and 229742, that added together give a triangular number (232221 = T₆₈₁).

The spelling of 2479229742 in words is "two billion, four hundred seventy-nine million, two hundred twenty-nine thousand, seven hundred forty-two".