2245761427 has 64 divisors (see below), whose sum is σ = 2952069120. Its totient is φ = 1661212800.

The previous prime is 2245761407. The next prime is 2245761431. The reversal of 2245761427 is 7241675422.

It is not a de Polignac number, because 2245761427 - 2²⁷ = 2111543699 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2245761427.

It is not an unprimeable number, because it can be changed into a prime (2245761407) 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 63 ways as a sum of consecutive naturals, for example, 17143152 + ... + 17143282.

It is an arithmetic number, because the mean of its divisors is an integer number (46126080).

Almost surely, 2^2245761427 is an apocalyptic number.

2245761427 is a deficient number, since it is larger than the sum of its proper divisors (706307693).

2245761427 is a wasteful number, since it uses less digits than its factorization.

2245761427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344.

The product of its digits is 188160, while the sum is 40.

The square root of 2245761427 is about 47389.4653588749. The cubic root of 2245761427 is about 1309.5473499732.

The spelling of 2245761427 in words is "two billion, two hundred forty-five million, seven hundred sixty-one thousand, four hundred twenty-seven".