2040384001820 has 48 divisors (see below), whose sum is σ = 4388017041408. Its totient is φ = 796525289280.

The previous prime is 2040384001813. The next prime is 2040384001829. The reversal of 2040384001820 is 281004830402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040384001829) 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, 94997 + ... + 2022323.

It is an arithmetic number, because the mean of its divisors is an integer number (91417021696).

Almost surely, 2^{2040384001820} is an apocalyptic number.

2040384001820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040384001820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194008520704).

2040384001820 is an abundant number, since it is smaller than the sum of its proper divisors (2347633039588).

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

2040384001820 is a wasteful number, since it uses less digits than its factorization.

2040384001820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928610 (or 1928608 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 2040384001820 in words is "two trillion, forty billion, three hundred eighty-four million, one thousand, eight hundred twenty".