2972688 has 40 divisors (see below), whose sum is σ = 8133408. Its totient is φ = 932352.

The previous prime is 2972687. The next prime is 2972693. The reversal of 2972688 is 8862792.

It is a happy number.

It is a d-powerful number, because it can be written as 2²⁰ + 9³ + 7⁷ + 2²⁰ + 6⁶ + 8³ + 8⁴ .

It is not an unprimeable number, because it can be changed into a prime (2972687) 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, 1006 + ... + 2637.

2^2972688 is an apocalyptic number.

It is an amenable number.

2972688 is an abundant number, since it is smaller than the sum of its proper divisors (5160720).

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

2972688 is a wasteful number, since it uses less digits than its factorization.

2972688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3665 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 2972688 is about 1724.1484854849. The cubic root of 2972688 is about 143.7859474056.

The spelling of 2972688 in words is "two million, nine hundred seventy-two thousand, six hundred eighty-eight".