2643872 has 96 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 967680.

The previous prime is 2643871. The next prime is 2643889. The reversal of 2643872 is 2783462.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 2¹¹ + 6⁸ + 4⁵ + 3⁸ + 8 + 7⁷ + 2¹⁷ .

It is not an unprimeable number, because it can be changed into a prime (2643871) 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, 71438 + ... + 71474.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

2^2643872 is an apocalyptic number.

2643872 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 2643872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2643872 is an abundant number, since it is smaller than the sum of its proper divisors (4250848).

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

2643872 is a wasteful number, since it uses less digits than its factorization.

2643872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 86 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 2643872 is about 1625.9987699872. The cubic root of 2643872 is about 138.2760001763.

2643872 divided by its sum of digits (32) gives a triangular number (82621 = T₄₀₆).

The spelling of 2643872 in words is "two million, six hundred forty-three thousand, eight hundred seventy-two".