2033400020 has 48 divisors (see below), whose sum is σ = 4313206800. Its totient is φ = 805195776.

The previous prime is 2033400001. The next prime is 2033400029. The reversal of 2033400020 is 200043302.

It can be written as a sum of positive squares in 8 ways, for example, as 118287376 + 1915112644 = 10876^2 + 43762^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2033399968 and 2033400004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033400029) 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, 1050974 + ... + 1052906.

It is an arithmetic number, because the mean of its divisors is an integer number (89858475).

Almost surely, 2^2033400020 is an apocalyptic number.

2033400020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2033400020 is an abundant number, since it is smaller than the sum of its proper divisors (2279806780).

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

2033400020 is a wasteful number, since it uses less digits than its factorization.

2033400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2033400020 is about 45093.2369652036. The cubic root of 2033400020 is about 1266.8959306465.

Adding to 2033400020 its reverse (200043302), we get a palindrome (2233443322).

The spelling of 2033400020 in words is "two billion, thirty-three million, four hundred thousand, twenty".