2020115442240 has 1008 divisors, whose sum is σ = 8195891558400. Its totient is φ = 455333437440.

The previous prime is 2020115442217. The next prime is 2020115442271. The reversal of 2020115442240 is 422445110202.

It is a happy number.

2020115442240 is a `hidden beast` number, since 2 + 0 + 201 + 15 + 442 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4016133829 + ... + 4016134331.

It is an arithmetic number, because the mean of its divisors is an integer number (8130844800).

Almost surely, 2^{2020115442240} is an apocalyptic number.

2020115442240 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 2020115442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097945779200).

2020115442240 is an abundant number, since it is smaller than the sum of its proper divisors (6175776116160).

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

2020115442240 is a wasteful number, since it uses less digits than its factorization.

2020115442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 2020115442240 in words is "two trillion, twenty billion, one hundred fifteen million, four hundred forty-two thousand, two hundred forty".