2278290133 has 54 divisors (see below), whose sum is σ = 2922196086. Its totient is φ = 1769529888.

The previous prime is 2278290109. The next prime is 2278290149. The reversal of 2278290133 is 3310928722.

It can be written as a sum of positive squares in only one way, i.e., 2216714724 + 61575409 = 47082^2 + 7847^2 .

It is not a de Polignac number, because 2278290133 - 2²¹ = 2276192981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 2278290092 and 2278290101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2278290193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 38615058 + ... + 38615116.

Almost surely, 2^2278290133 is an apocalyptic number.

It is an amenable number.

2278290133 is a deficient number, since it is larger than the sum of its proper divisors (643905953).

2278290133 is an equidigital number, since it uses as much as digits as its factorization.

2278290133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 2278290133 is about 47731.4375752501. The cubic root of 2278290133 is about 1315.8397741401.

Multiplying 2278290133 by its sum of digits (37), we get a square (84296734921 = 290339²).

2278290133 divided by its sum of digits (37) gives a square (61575409 = 7847²).

The spelling of 2278290133 in words is "two billion, two hundred seventy-eight million, two hundred ninety thousand, one hundred thirty-three".