2935872 has 56 divisors (see below), whose sum is σ = 8636000. Its totient is φ = 978048.

The previous prime is 2935871. The next prime is 2935879. The reversal of 2935872 is 2785392.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2 + 9⁴ + 3⁸ + 5 + 8⁷ + 7⁷ + 2¹¹ .

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2935871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 879 + ... + 2577.

2^2935872 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 2935872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318000).

2935872 is an abundant number, since it is smaller than the sum of its proper divisors (5700128).

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

2935872 is a wasteful number, since it uses less digits than its factorization.

2935872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1704 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 2935872 is about 1713.4386478657. The cubic root of 2935872 is about 143.1898955658.

The spelling of 2935872 in words is "two million, nine hundred thirty-five thousand, eight hundred seventy-two".