2968272 has 40 divisors (see below), whose sum is σ = 8521280. Its totient is φ = 989280.

The previous prime is 2968271. The next prime is 2968279. The reversal of 2968272 is 2728692.

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 2⁷ + 9³ + 6⁶ + 8² + 2²⁰ + 7⁷ + 2²⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968271) 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, 3004 + ... + 3867.

It is an arithmetic number, because the mean of its divisors is an integer number (213032).

2^2968272 is an apocalyptic number.

It is an amenable number.

2968272 is an abundant number, since it is smaller than the sum of its proper divisors (5553008).

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

2968272 is a wasteful number, since it uses less digits than its factorization.

2968272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6888 (or 6876 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2968272 is about 1722.8673773683. The cubic root of 2968272 is about 143.7147129517.

It can be divided in two parts, 2968 and 272, that added together give a triangular number (3240 = T₈₀).

The spelling of 2968272 in words is "two million, nine hundred sixty-eight thousand, two hundred seventy-two".