2742442472 has 32 divisors (see below), whose sum is σ = 6410905920. Its totient is φ = 1068483840.

The previous prime is 2742442457. The next prime is 2742442511.

2742442472 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2225393 + ... + 2226624.

It is an arithmetic number, because the mean of its divisors is an integer number (200340810).

Almost surely, 2^2742442472 is an apocalyptic number.

2742442472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2742442472 is an abundant number, since it is smaller than the sum of its proper divisors (3668463448).

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

2742442472 is a wasteful number, since it uses less digits than its factorization.

2742442472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452041 (or 4452037 counting only the distinct ones).

The product of its digits is 200704, while the sum is 38.

The square root of 2742442472 is about 52368.3346307671. The cubic root of 2742442472 is about 1399.7350641524.

It can be divided in two parts, 27424 and 42472, that added together give a palindrome (69896).

The spelling of 2742442472 in words is "two billion, seven hundred forty-two million, four hundred forty-two thousand, four hundred seventy-two".