2254081767 has 16 divisors (see below), whose sum is σ = 3468142080. Its totient is φ = 1275540192.

The previous prime is 2254081757. The next prime is 2254081769. The reversal of 2254081767 is 7671804522.

It is not a de Polignac number, because 2254081767 - 2¹⁴ = 2254065383 is a prime.

It is a super-3 number, since 3×2254081767³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254081769) 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, 518892 + ... + 523217.

It is an arithmetic number, because the mean of its divisors is an integer number (216758880).

Almost surely, 2^2254081767 is an apocalyptic number.

2254081767 is a deficient number, since it is larger than the sum of its proper divisors (1214060313).

2254081767 is a wasteful number, since it uses less digits than its factorization.

2254081767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042222.

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 2254081767 is about 47477.1710088122. The cubic root of 2254081767 is about 1311.1626077380.

The spelling of 2254081767 in words is "two billion, two hundred fifty-four million, eighty-one thousand, seven hundred sixty-seven".