2261824029 has 12 divisors (see below), whose sum is σ = 3267996732. Its totient is φ = 1507459200.

The previous prime is 2261824009. The next prime is 2261824031. The reversal of 2261824029 is 9204281622.

It can be written as a sum of positive squares in 2 ways, for example, as 628855929 + 1632968100 = 25077^2 + 40410^2 .

It is not a de Polignac number, because 2261824029 - 2⁷ = 2261823901 is a prime.

It is a super-3 number, since 3×2261824029³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2261823984 and 2261824002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261824009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439 + ... + 67259.

It is an arithmetic number, because the mean of its divisors is an integer number (272333061).

Almost surely, 2^2261824029 is an apocalyptic number.

It is an amenable number.

2261824029 is a deficient number, since it is larger than the sum of its proper divisors (1006172703).

2261824029 is a wasteful number, since it uses less digits than its factorization.

2261824029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70588 (or 70585 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2261824029 is about 47558.6377958831. The cubic root of 2261824029 is about 1312.6620747880.

The spelling of 2261824029 in words is "two billion, two hundred sixty-one million, eight hundred twenty-four thousand, twenty-nine".