2890272 has 192 divisors, whose sum is σ = 10450944. Its totient is φ = 675840.

The previous prime is 2890271. The next prime is 2890301. The reversal of 2890272 is 2720982.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125653 + ... + 125675.

It is an arithmetic number, because the mean of its divisors is an integer number (54432).

2^2890272 is an apocalyptic number.

2890272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2890272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472).

2890272 is an abundant number, since it is smaller than the sum of its proper divisors (7560672).

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

2890272 is a wasteful number, since it uses less digits than its factorization.

2890272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2890272 is about 1700.0799981177. The cubic root of 2890272 is about 142.4446815137. Note that the first 3 decimals are identical.

The spelling of 2890272 in words is "two million, eight hundred ninety thousand, two hundred seventy-two".