2142047072 has 48 divisors (see below), whose sum is σ = 4642822800. Its totient is φ = 964707840.

The previous prime is 2142047071. The next prime is 2142047081. The reversal of 2142047072 is 2707402412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142047071) by changing a digit.

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, 10454 + ... + 66282.

It is an arithmetic number, because the mean of its divisors is an integer number (96725475).

Almost surely, 2^2142047072 is an apocalyptic number.

2142047072 is a gapful number since it is divisible by the number (22) 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 2142047072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321411400).

2142047072 is an abundant number, since it is smaller than the sum of its proper divisors (2500775728).

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

2142047072 is a wasteful number, since it uses less digits than its factorization.

2142047072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55959 (or 55951 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 29.

The square root of 2142047072 is about 46282.2543962586. The cubic root of 2142047072 is about 1289.0695114727.

Adding to 2142047072 its reverse (2707402412), we get a palindrome (4849449484).

The spelling of 2142047072 in words is "two billion, one hundred forty-two million, forty-seven thousand, seventy-two".