2905542416 has 60 divisors (see below), whose sum is σ = 6622327260. Its totient is φ = 1231211520.

The previous prime is 2905542389. The next prime is 2905542421. The reversal of 2905542416 is 6142455092.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2024640016 + 880902400 = 44996^2 + 29680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2905542416.

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, 48956 + ... + 90596.

It is an arithmetic number, because the mean of its divisors is an integer number (110372121).

Almost surely, 2^2905542416 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 2905542416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311163630).

2905542416 is an abundant number, since it is smaller than the sum of its proper divisors (3716784844).

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

2905542416 is a wasteful number, since it uses less digits than its factorization.

2905542416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41752 (or 41739 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 2905542416 is about 53903.0835481608. The cubic root of 2905542416 is about 1426.9510430681.

The spelling of 2905542416 in words is "two billion, nine hundred five million, five hundred forty-two thousand, four hundred sixteen".