1829247006 has 32 divisors (see below), whose sum is σ = 3677200128. Its totient is φ = 606640320.

The previous prime is 1829246963. The next prime is 1829247031. The reversal of 1829247006 is 6007429281.

It is a super-2 number, since 2×1829247006² = 6692289217919928072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1860391 + ... + 1861373.

It is an arithmetic number, because the mean of its divisors is an integer number (114912504).

Almost surely, 2^1829247006 is an apocalyptic number.

1829247006 is an abundant number, since it is smaller than the sum of its proper divisors (1847953122).

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

1829247006 is a wasteful number, since it uses less digits than its factorization.

1829247006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1829247006 is about 42769.6972867473. The cubic root of 1829247006 is about 1222.9934120955.

The spelling of 1829247006 in words is "one billion, eight hundred twenty-nine million, two hundred forty-seven thousand, six".