2781265961 has 16 divisors (see below), whose sum is σ = 3057782400. Its totient is φ = 2517977088.

The previous prime is 2781265933. The next prime is 2781265973. The reversal of 2781265961 is 1695621872.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2781265961 - 2¹⁴ = 2781249577 is a prime.

It is a super-3 number, since 3×2781265961³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2781265901) 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 15 ways as a sum of consecutive naturals, for example, 613475 + ... + 617991.

It is an arithmetic number, because the mean of its divisors is an integer number (191111400).

Almost surely, 2^2781265961 is an apocalyptic number.

It is an amenable number.

2781265961 is a deficient number, since it is larger than the sum of its proper divisors (276516439).

2781265961 is a wasteful number, since it uses less digits than its factorization.

2781265961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5968.

The product of its digits is 362880, while the sum is 47.

The square root of 2781265961 is about 52737.7090988981. The cubic root of 2781265961 is about 1406.3092722447.

The spelling of 2781265961 in words is "two billion, seven hundred eighty-one million, two hundred sixty-five thousand, nine hundred sixty-one".