2291669952 has 448 divisors, whose sum is σ = 7865303040. Its totient is φ = 577843200.

The previous prime is 2291669951. The next prime is 2291669953. The reversal of 2291669952 is 2599661922.

It is an interprime number because it is at equal distance from previous prime (2291669951) and next prime (2291669953).

It is a junction number, because it is equal to n+sod(n) for n = 2291669895 and 2291669904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2291669951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11998177 + ... + 11998367.

It is an arithmetic number, because the mean of its divisors is an integer number (17556480).

Almost surely, 2^2291669952 is an apocalyptic number.

2291669952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2291669952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932651520).

2291669952 is an abundant number, since it is smaller than the sum of its proper divisors (5573633088).

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

2291669952 is a wasteful number, since it uses less digits than its factorization.

2291669952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 51.

The square root of 2291669952 is about 47871.3897019921. The cubic root of 2291669952 is about 1318.4106122681.

The spelling of 2291669952 in words is "two billion, two hundred ninety-one million, six hundred sixty-nine thousand, nine hundred fifty-two".