2249616765 has 32 divisors (see below), whose sum is σ = 3929956992. Its totient is φ = 1089792000.

The previous prime is 2249616737. The next prime is 2249616779. The reversal of 2249616765 is 5676169422.

It is not a de Polignac number, because 2249616765 - 2¹⁰ = 2249615741 is a prime.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 212805 + ... + 223125.

It is an arithmetic number, because the mean of its divisors is an integer number (122811156).

Almost surely, 2^2249616765 is an apocalyptic number.

It is an amenable number.

2249616765 is a deficient number, since it is larger than the sum of its proper divisors (1680340227).

2249616765 is a wasteful number, since it uses less digits than its factorization.

2249616765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11661.

The product of its digits is 1088640, while the sum is 48.

The square root of 2249616765 is about 47430.1250788990. The cubic root of 2249616765 is about 1310.2962958558.

It can be divided in two parts, 2249616 and 765, that added together give a triangular number (2250381 = T₂₁₂₁).

The spelling of 2249616765 in words is "two billion, two hundred forty-nine million, six hundred sixteen thousand, seven hundred sixty-five".