2251188819 has 48 divisors (see below), whose sum is σ = 3642362880. Its totient is φ = 1328296320.

The previous prime is 2251188803. The next prime is 2251188827. The reversal of 2251188819 is 9188811522.

It is not a de Polignac number, because 2251188819 - 2⁴ = 2251188803 is a prime.

It is a super-2 number, since 2×2251188819² = 10135702197581229522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2251188869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 568962 + ... + 572904.

It is an arithmetic number, because the mean of its divisors is an integer number (75882560).

Almost surely, 2^2251188819 is an apocalyptic number.

2251188819 is a deficient number, since it is larger than the sum of its proper divisors (1391174061).

2251188819 is a wasteful number, since it uses less digits than its factorization.

2251188819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4109 counting only the distinct ones).

The product of its digits is 92160, while the sum is 45.

The square root of 2251188819 is about 47446.6945002494. The cubic root of 2251188819 is about 1310.6014407047.

The spelling of 2251188819 in words is "two billion, two hundred fifty-one million, one hundred eighty-eight thousand, eight hundred nineteen".