2252016767 has 24 divisors (see below), whose sum is σ = 3040318080. Its totient is φ = 1619822880.

The previous prime is 2252016761. The next prime is 2252016773. The reversal of 2252016767 is 7676102522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2252016761) and next prime (2252016773).

It is not a de Polignac number, because 2252016767 - 2¹⁰ = 2252015743 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2252016767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252016761) 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 23 ways as a sum of consecutive naturals, for example, 73517 + ... + 99542.

It is an arithmetic number, because the mean of its divisors is an integer number (126679920).

Almost surely, 2^2252016767 is an apocalyptic number.

2252016767 is a deficient number, since it is larger than the sum of its proper divisors (788301313).

2252016767 is a wasteful number, since it uses less digits than its factorization.

2252016767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173103 (or 173090 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 2252016767 is about 47455.4187316896. The cubic root of 2252016767 is about 1310.7620931314.

The spelling of 2252016767 in words is "two billion, two hundred fifty-two million, sixteen thousand, seven hundred sixty-seven".