2020440400 has 120 divisors (see below), whose sum is σ = 5332212288. Its totient is φ = 729600000.

The previous prime is 2020440391. The next prime is 2020440413. The reversal of 2020440400 is 40440202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 662880 + ... + 665920.

Almost surely, 2^2020440400 is an apocalyptic number.

2020440400 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 2020440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666106144).

2020440400 is an abundant number, since it is smaller than the sum of its proper divisors (3311771888).

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

2020440400 is a wasteful number, since it uses less digits than its factorization.

2020440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2020440400 is about 44949.3092271728. The cubic root of 2020440400 is about 1264.1987249639.

Adding to 2020440400 its reverse (40440202), we get a palindrome (2060880602).

The spelling of 2020440400 in words is "two billion, twenty million, four hundred forty thousand, four hundred".