2972268 has 96 divisors (see below), whose sum is σ = 8702400. Its totient is φ = 870912.

The previous prime is 2972257. The next prime is 2972269. The reversal of 2972268 is 8622792.

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

Its product of digits (24192) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (2972269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40680 + ... + 40752.

It is an arithmetic number, because the mean of its divisors is an integer number (90650).

2^2972268 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 2972268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351200).

2972268 is an abundant number, since it is smaller than the sum of its proper divisors (5730132).

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

2972268 is a wasteful number, since it uses less digits than its factorization.

2972268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

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

The square root of 2972268 is about 1724.0266819281. The cubic root of 2972268 is about 143.7791754266.

It can be divided in two parts, 2972 and 268, that added together give a triangular number (3240 = T₈₀).

The spelling of 2972268 in words is "two million, nine hundred seventy-two thousand, two hundred sixty-eight".