2972838 has 32 divisors (see below), whose sum is σ = 6700032. Its totient is φ = 871200.

The previous prime is 2972831. The next prime is 2972843. The reversal of 2972838 is 8382792.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2972796 and 2972805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972831) 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, 1320 + ... + 2772.

It is an arithmetic number, because the mean of its divisors is an integer number (209376).

2^2972838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2972838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350016).

2972838 is an abundant number, since it is smaller than the sum of its proper divisors (3727194).

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

2972838 is a wasteful number, since it uses less digits than its factorization.

2972838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500.

The product of its digits is 48384, while the sum is 39.

The square root of 2972838 is about 1724.1919846699. The cubic root of 2972838 is about 143.7883658150.

The spelling of 2972838 in words is "two million, nine hundred seventy-two thousand, eight hundred thirty-eight".