2252772080 has 40 divisors (see below), whose sum is σ = 5640597312. Its totient is φ = 831792384.

The previous prime is 2252772061. The next prime is 2252772083. The reversal of 2252772080 is 802772522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2252772080³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2252772080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252772083) 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 7 ways as a sum of consecutive naturals, for example, 1082024 + ... + 1084103.

Almost surely, 2^2252772080 is an apocalyptic number.

2252772080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252772080 is an abundant number, since it is smaller than the sum of its proper divisors (3387825232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2252772080 is a wasteful number, since it uses less digits than its factorization.

2252772080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166153 (or 2166147 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 2252772080 is about 47463.3761968109. The cubic root of 2252772080 is about 1310.9086173492.

The spelling of 2252772080 in words is "two billion, two hundred fifty-two million, seven hundred seventy-two thousand, eighty".