2020533840 has 240 divisors, whose sum is σ = 7447304592. Its totient is φ = 487858176.

The previous prime is 2020533829. The next prime is 2020533847. The reversal of 2020533840 is 483350202.

It can be written as a sum of positive squares in 8 ways, for example, as 274631184 + 1745902656 = 16572^2 + 41784^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020533847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494044 + ... + 498116.

Almost surely, 2^2020533840 is an apocalyptic number.

2020533840 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 2020533840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723652296).

2020533840 is an abundant number, since it is smaller than the sum of its proper divisors (5426770752).

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

2020533840 is a wasteful number, since it uses less digits than its factorization.

2020533840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2020533840 is about 44950.3486082144. The cubic root of 2020533840 is about 1264.2182132742.

It can be divided in two parts, 20205 and 33840, that added together give a palindrome (54045).

The spelling of 2020533840 in words is "two billion, twenty million, five hundred thirty-three thousand, eight hundred forty".