2020741920 has 144 divisors (see below), whose sum is σ = 6934774392. Its totient is φ = 535818240.

The previous prime is 2020741901. The next prime is 2020741951. The reversal of 2020741920 is 291470202.

2020741920 is a `hidden beast` number, since 20 + 207 + 419 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1646087184 + 374654736 = 40572^2 + 19356^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 256764 + ... + 264516.

Almost surely, 2^2020741920 is an apocalyptic number.

2020741920 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 2020741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467387196).

2020741920 is an abundant number, since it is smaller than the sum of its proper divisors (4914032472).

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

2020741920 is a wasteful number, since it uses less digits than its factorization.

2020741920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7955 (or 7944 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2020741920 is about 44952.6631024236. The cubic root of 2020741920 is about 1264.2616093132.

The spelling of 2020741920 in words is "two billion, twenty million, seven hundred forty-one thousand, nine hundred twenty".