2783451783424 has 135 divisors (see below), whose sum is σ = 6028788162257. Its totient is φ = 1282587930624.

The previous prime is 2783451783421. The next prime is 2783451783461. The reversal of 2783451783424 is 4243871543872.

It is a happy number.

The square root of 2783451783424 is 1668368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1869454598400 + 913997185024 = 1367280^2 + 956032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2783451783421) 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 14 ways as a sum of consecutive naturals, for example, 4511266764 + ... + 4511267380.

Almost surely, 2^{2783451783424} is an apocalyptic number.

2783451783424 is the 1668368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2783451783424

2783451783424 is an abundant number, since it is smaller than the sum of its proper divisors (3245336378833).

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

2783451783424 is an frugal number, since it uses more digits than its factorization.

2783451783424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 632 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 58.

The spelling of 2783451783424 in words is "two trillion, seven hundred eighty-three billion, four hundred fifty-one million, seven hundred eighty-three thousand, four hundred twenty-four".