2832640601 has 16 divisors (see below), whose sum is σ = 3381279744. Its totient is φ = 2320197264.

The previous prime is 2832640579. The next prime is 2832640619. The reversal of 2832640601 is 1060462382.

2832640601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2832640601 - 2¹⁴ = 2832624217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2832640201) 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, 172970 + ... + 188636.

It is an arithmetic number, because the mean of its divisors is an integer number (211329984).

Almost surely, 2^2832640601 is an apocalyptic number.

It is an amenable number.

2832640601 is a deficient number, since it is larger than the sum of its proper divisors (548639143).

2832640601 is a wasteful number, since it uses less digits than its factorization.

2832640601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16820.

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 2832640601 is about 53222.5572572382. The cubic root of 2832640601 is about 1414.9154599943.

The spelling of 2832640601 in words is "two billion, eight hundred thirty-two million, six hundred forty thousand, six hundred one".