2256984 has 72 divisors (see below), whose sum is σ = 6495060. Its totient is φ = 734832.

The previous prime is 2256973. The next prime is 2257001. The reversal of 2256984 is 4896522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

Its product of digits (34560) is a multiple of the sum of its prime divisors (48).

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52467 + ... + 52509.

2^2256984 is an apocalyptic number.

2256984 is a gapful number since it is divisible by the number (24) 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 2256984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247530).

2256984 is an abundant number, since it is smaller than the sum of its proper divisors (4238076).

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

2256984 is an frugal number, since it uses more digits than its factorization.

2256984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 48 counting only the distinct ones).

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

The square root of 2256984 is about 1502.3261962703. The cubic root of 2256984 is about 131.1725093602.

It can be divided in two parts, 2256 and 984, that added together give a triangular number (3240 = T₈₀).

The spelling of 2256984 in words is "two million, two hundred fifty-six thousand, nine hundred eighty-four".