2781332961 has 16 divisors (see below), whose sum is σ = 4052161728. Its totient is φ = 1682912000.

The previous prime is 2781332947. The next prime is 2781333007. The reversal of 2781332961 is 1692331872.

It is not a de Polignac number, because 2781332961 - 2⁵ = 2781332929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2781332941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47940 + ... + 88661.

It is an arithmetic number, because the mean of its divisors is an integer number (253260108).

Almost surely, 2^2781332961 is an apocalyptic number.

It is an amenable number.

2781332961 is a deficient number, since it is larger than the sum of its proper divisors (1270828767).

2781332961 is a wasteful number, since it uses less digits than its factorization.

2781332961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137232.

The product of its digits is 108864, while the sum is 42.

The square root of 2781332961 is about 52738.3443141705. The cubic root of 2781332961 is about 1406.3205647000.

The spelling of 2781332961 in words is "two billion, seven hundred eighty-one million, three hundred thirty-two thousand, nine hundred sixty-one".