2984256 has 112 divisors (see below), whose sum is σ = 9631680. Its totient is φ = 898560.

The previous prime is 2984239. The next prime is 2984263. The reversal of 2984256 is 6524892.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2984256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18930 + ... + 19086.

2^2984256 is an apocalyptic number.

It is a pronic number, being equal to 1727×1728.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815840).

2984256 is an abundant number, since it is smaller than the sum of its proper divisors (6647424).

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

2984256 is a wasteful number, since it uses less digits than its factorization.

2984256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2984256 is about 1727.4999276411. The cubic root of 2984256 is about 143.9722168621.

It can be divided in two parts, 2984 and 256, that added together give a triangular number (3240 = T₈₀).

The spelling of 2984256 in words is "two million, nine hundred eighty-four thousand, two hundred fifty-six".