2039838076441 has 27 divisors (see below), whose sum is σ = 2259239997567. Its totient is φ = 1840358760240.

The previous prime is 2039838076379. The next prime is 2039838076447. The reversal of 2039838076441 is 1446708389302.

The square root of 2039838076441 is 1428229.

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

It can be written as a sum of positive squares in only one way, i.e., 597907830025 + 1441930246416 = 773245^2 + 1200804^2 .

It is not a de Polignac number, because 2039838076441 - 2⁷ = 2039838076313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2039838076447) 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, 2466551070 + ... + 2466551896.

Almost surely, 2^{2039838076441} is an apocalyptic number.

2039838076441 is the 1428229-th square number.

2039838076441 is the 714115-th centered octagonal number.

It is an amenable number.

2039838076441 is a deficient number, since it is larger than the sum of its proper divisors (219401921126).

2039838076441 is an frugal number, since it uses more digits than its factorization.

2039838076441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 2039838076441 in words is "two trillion, thirty-nine billion, eight hundred thirty-eight million, seventy-six thousand, four hundred forty-one".