2938716 has 72 divisors (see below), whose sum is σ = 8347248. Its totient is φ = 864000.

The previous prime is 2938709. The next prime is 2938717. The reversal of 2938716 is 6178392.

2938716 = T₄₅₃ + T₄₅₄ + ... + T₄₇₉.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2938717) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16146 + ... + 16326.

It is an arithmetic number, because the mean of its divisors is an integer number (115934).

2^2938716 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 2938716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173624).

2938716 is an abundant number, since it is smaller than the sum of its proper divisors (5408532).

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

2938716 is a wasteful number, since it uses less digits than its factorization.

2938716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 238 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2938716 is about 1714.2683570550. The cubic root of 2938716 is about 143.2361169993.

It can be divided in two parts, 29387 and 16, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 2938716 in words is "two million, nine hundred thirty-eight thousand, seven hundred sixteen".