2935519872 has 128 divisors (see below), whose sum is σ = 8042496000. Its totient is φ = 948132864.

The previous prime is 2935519871. The next prime is 2935519889. The reversal of 2935519872 is 2789155392.

2935519872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2935519871) 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, 2294529 + ... + 2295807.

It is an arithmetic number, because the mean of its divisors is an integer number (62832000).

Almost surely, 2^2935519872 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 2935519872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021248000).

2935519872 is an abundant number, since it is smaller than the sum of its proper divisors (5106976128).

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

2935519872 is a wasteful number, since it uses less digits than its factorization.

2935519872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1466 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The square root of 2935519872 is about 54180.4380934669. The cubic root of 2935519872 is about 1431.8417061277.

The spelling of 2935519872 in words is "two billion, nine hundred thirty-five million, five hundred nineteen thousand, eight hundred seventy-two".