2783972338576 has 135 divisors (see below), whose sum is σ = 6422234987763. Its totient is φ = 1167699836160.

The previous prime is 2783972338549. The next prime is 2783972338577. The reversal of 2783972338576 is 6758332793872.

The square root of 2783972338576 is 1668524.

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

It can be written as a sum of positive squares in 4 ways, for example, as 341378444176 + 2442593894400 = 584276^2 + 1562880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2783972338577) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 954394270 + ... + 954397186.

Almost surely, 2^{2783972338576} is an apocalyptic number.

2783972338576 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2783972338576 is the 1668524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2783972338576

2783972338576 is an abundant number, since it is smaller than the sum of its proper divisors (3638262649187).

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

2783972338576 is an equidigital number, since it uses as much as digits as its factorization.

2783972338576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5890 (or 2943 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 70.

The spelling of 2783972338576 in words is "two trillion, seven hundred eighty-three billion, nine hundred seventy-two million, three hundred thirty-eight thousand, five hundred seventy-six".