2783138807808 has 180 divisors, whose sum is σ = 8315056684935. Its totient is φ = 927712935936.

The previous prime is 2783138807767. The next prime is 2783138807809. The reversal of 2783138807808 is 8087088313872.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)⁴ ⋅ (2!)²³.

It can be written as a sum of positive squares in only one way, i.e., 1391569403904 + 1391569403904 = 1179648^2 + 1179648^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1179648.

It is not an unprimeable number, because it can be changed into a prime (2783138807809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 927712935935 + 927712935936 + 927712935937.

Almost surely, 2^{2783138807808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2783138807808

2783138807808 is an abundant number, since it is smaller than the sum of its proper divisors (5531917877127).

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

2783138807808 is an frugal number, since it uses more digits than its factorization.

2783138807808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 2783138807808 in words is "two trillion, seven hundred eighty-three billion, one hundred thirty-eight million, eight hundred seven thousand, eight hundred eight".