2948411536 has 80 divisors (see below), whose sum is σ = 6725462400. Its totient is φ = 1251546240.

The previous prime is 2948411497. The next prime is 2948411537. The reversal of 2948411536 is 6351148492.

2948411536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2948411492 and 2948411501.

It is not an unprimeable number, because it can be changed into a prime (2948411537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584706 + ... + 589726.

It is an arithmetic number, because the mean of its divisors is an integer number (84068280).

Almost surely, 2^2948411536 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 2948411536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362731200).

2948411536 is an abundant number, since it is smaller than the sum of its proper divisors (3777050864).

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

2948411536 is a wasteful number, since it uses less digits than its factorization.

2948411536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157 (or 5137 counting only the distinct ones).

The product of its digits is 207360, while the sum is 43.

The square root of 2948411536 is about 54299.2774905891. The cubic root of 2948411536 is about 1433.9346762984.

The spelling of 2948411536 in words is "two billion, nine hundred forty-eight million, four hundred eleven thousand, five hundred thirty-six".