2941009920 has 180 divisors, whose sum is σ = 10197745740. Its totient is φ = 784072704.

The previous prime is 2941009901. The next prime is 2941009949. The reversal of 2941009920 is 299001492.

It can be written as a sum of positive squares in 2 ways, for example, as 1221083136 + 1719926784 = 34944^2 + 41472^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 735286 + ... + 739274.

It is an arithmetic number, because the mean of its divisors is an integer number (56654143).

Almost surely, 2^2941009920 is an apocalyptic number.

2941009920 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 2941009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098872870).

2941009920 is an abundant number, since it is smaller than the sum of its proper divisors (7256735820).

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

2941009920 is an equidigital number, since it uses as much as digits as its factorization.

2941009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 2941009920 is about 54231.0789123727. The cubic root of 2941009920 is about 1432.7337666617.

The spelling of 2941009920 in words is "two billion, nine hundred forty-one million, nine thousand, nine hundred twenty".