2240821820 has 48 divisors (see below), whose sum is σ = 4850979840. Its totient is φ = 869020224.

The previous prime is 2240821819. The next prime is 2240821853. The reversal of 2240821820 is 281280422.

It is a super-5 number, since 5×2240821820⁵ (a number of 48 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89441 + ... + 111719.

It is an arithmetic number, because the mean of its divisors is an integer number (101062080).

Almost surely, 2^2240821820 is an apocalyptic number.

2240821820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240821820 is an abundant number, since it is smaller than the sum of its proper divisors (2610158020).

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

2240821820 is a wasteful number, since it uses less digits than its factorization.

2240821820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22442 (or 22440 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 2240821820 is about 47337.3195269863. The cubic root of 2240821820 is about 1308.5865180651.

The spelling of 2240821820 in words is "two billion, two hundred forty million, eight hundred twenty-one thousand, eight hundred twenty".