2935981728 has 240 divisors, whose sum is σ = 9074419200. Its totient is φ = 930009600.

The previous prime is 2935981691. The next prime is 2935981729. The reversal of 2935981728 is 8271895392.

2935981728 is a `hidden beast` number, since 29 + 3 + 598 + 1 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2935981729) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4901173 + ... + 4901771.

It is an arithmetic number, because the mean of its divisors is an integer number (37810080).

Almost surely, 2^2935981728 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 2935981728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4537209600).

2935981728 is an abundant number, since it is smaller than the sum of its proper divisors (6138437472).

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

2935981728 is a wasteful number, since it uses less digits than its factorization.

2935981728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 696 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 2935981728 is about 54184.7001283573. The cubic root of 2935981728 is about 1431.9167944747.

The spelling of 2935981728 in words is "two billion, nine hundred thirty-five million, nine hundred eighty-one thousand, seven hundred twenty-eight".