2441000820 has 48 divisors (see below), whose sum is σ = 6849642240. Its totient is φ = 649520256.

The previous prime is 2441000797. The next prime is 2441000839. The reversal of 2441000820 is 280001442.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16155 + ... + 71714.

It is an arithmetic number, because the mean of its divisors is an integer number (142700880).

Almost surely, 2^2441000820 is an apocalyptic number.

2441000820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2441000820 is an abundant number, since it is smaller than the sum of its proper divisors (4408641420).

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

2441000820 is a wasteful number, since it uses less digits than its factorization.

2441000820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88344 (or 88342 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2441000820 is about 49406.4856066489. The cubic root of 2441000820 is about 1346.4471408273.

The spelling of 2441000820 in words is "two billion, four hundred forty-one million, eight hundred twenty", and thus it is an aban number.