2067721820 has 48 divisors (see below), whose sum is σ = 4389704928. Its totient is φ = 818088960.

The previous prime is 2067721771. The next prime is 2067721829. The reversal of 2067721820 is 281277602.

It is a super-2 number, since 2×2067721820² = 8550947049808224800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067721829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856415 + ... + 858825.

It is an arithmetic number, because the mean of its divisors is an integer number (91452186).

Almost surely, 2^2067721820 is an apocalyptic number.

2067721820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2067721820 is an abundant number, since it is smaller than the sum of its proper divisors (2321983108).

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

2067721820 is a wasteful number, since it uses less digits than its factorization.

2067721820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 2067721820 is about 45472.2093151410. The cubic root of 2067721820 is about 1273.9841853871.

The spelling of 2067721820 in words is "two billion, sixty-seven million, seven hundred twenty-one thousand, eight hundred twenty".