2185656 has 64 divisors (see below), whose sum is σ = 6324480. Its totient is φ = 622080.

The previous prime is 2185649. The next prime is 2185657. The reversal of 2185656 is 6565812.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2185657) 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, 4245 + ... + 4731.

It is an arithmetic number, because the mean of its divisors is an integer number (98820).

2^2185656 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 2185656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162240).

2185656 is an abundant number, since it is smaller than the sum of its proper divisors (4138824).

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

2185656 is a wasteful number, since it uses less digits than its factorization.

2185656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 2185656 is about 1478.3964285671. The cubic root of 2185656 is about 129.7758662573.

It can be divided in two parts, 218565 and 6, that multiplied together give a triangular number (1311390 = T₁₆₁₉).

The spelling of 2185656 in words is "two million, one hundred eighty-five thousand, six hundred fifty-six".