2972346 has 32 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 896064.

The previous prime is 2972323. The next prime is 2972351. The reversal of 2972346 is 6432792.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3775 + ... + 4493.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

2^2972346 is an apocalyptic number.

2972346 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2972346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2972346 is an abundant number, since it is smaller than the sum of its proper divisors (3559494).

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

2972346 is a wasteful number, since it uses less digits than its factorization.

2972346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790.

The product of its digits is 18144, while the sum is 33.

The square root of 2972346 is about 1724.0493032393. The cubic root of 2972346 is about 143.7804331281.

The spelling of 2972346 in words is "two million, nine hundred seventy-two thousand, three hundred forty-six".