2020292736 has 384 divisors, whose sum is σ = 6999125760. Its totient is φ = 510289920.

The previous prime is 2020292707. The next prime is 2020292749. The reversal of 2020292736 is 6372920202.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2020292697 and 2020292706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8899855 + ... + 8900081.

It is an arithmetic number, because the mean of its divisors is an integer number (18226890).

Almost surely, 2^2020292736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020292736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499562880).

2020292736 is an abundant number, since it is smaller than the sum of its proper divisors (4978833024).

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

2020292736 is a wasteful number, since it uses less digits than its factorization.

2020292736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2020292736 is about 44947.6666357665. Note that the first 4 decimals coincide. The cubic root of 2020292736 is about 1264.1679262020.

The spelling of 2020292736 in words is "two billion, twenty million, two hundred ninety-two thousand, seven hundred thirty-six".