2084400020 has 24 divisors (see below), whose sum is σ = 4422370344. Its totient is φ = 825163776.

The previous prime is 2084400013. The next prime is 2084400029. The reversal of 2084400020 is 200044802.

It can be written as a sum of positive squares in 4 ways, for example, as 655257604 + 1429142416 = 25598^2 + 37804^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2084399965 and 2084400001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084400029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 535277 + ... + 539156.

It is an arithmetic number, because the mean of its divisors is an integer number (184265431).

Almost surely, 2^2084400020 is an apocalyptic number.

2084400020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2084400020 is an abundant number, since it is smaller than the sum of its proper divisors (2337970324).

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

2084400020 is a wasteful number, since it uses less digits than its factorization.

2084400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074539 (or 1074537 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2084400020 is about 45655.2299304253. The cubic root of 2084400020 is about 1277.4003266789.

Adding to 2084400020 its reverse (200044802), we get a palindrome (2284444822).

The spelling of 2084400020 in words is "two billion, eighty-four million, four hundred thousand, twenty".