2106456 has 64 divisors (see below), whose sum is σ = 5875200. Its totient is φ = 624000.

The previous prime is 2106451. The next prime is 2106463. The reversal of 2106456 is 6546012.

2106456 = T₂₀₅ + T₂₀₆ + ... + T₂₇₆.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106451) 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, 20806 + ... + 20906.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

2^2106456 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 2106456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937600).

2106456 is an abundant number, since it is smaller than the sum of its proper divisors (3768744).

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

2106456 is a wasteful number, since it uses less digits than its factorization.

2106456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2106456 is about 1451.3634968539. The cubic root of 2106456 is about 128.1890111240.

It can be divided in two parts, 210 and 6456, that added together give a palindrome (6666).

The spelling of 2106456 in words is "two million, one hundred six thousand, four hundred fifty-six".