2072438784 has 360 divisors, whose sum is σ = 6888371490. Its totient is φ = 617103360.

The previous prime is 2072438773. The next prime is 2072438791. The reversal of 2072438784 is 4878342702.

2072438784 is a `hidden beast` number, since 207 + 2 + 438 + 7 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1992729600 + 79709184 = 44640^2 + 8928^2 .

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 66852849 + ... + 66852879.

Almost surely, 2^2072438784 is an apocalyptic number.

2072438784 is a gapful number since it is divisible by the number (24) 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 2072438784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444185745).

2072438784 is an abundant number, since it is smaller than the sum of its proper divisors (4815932706).

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

2072438784 is an equidigital number, since it uses as much as digits as its factorization.

2072438784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 2072438784 is about 45524.0462173564. The cubic root of 2072438784 is about 1274.9522030525.

The spelling of 2072438784 in words is "two billion, seventy-two million, four hundred thirty-eight thousand, seven hundred eighty-four".