2101456 has 40 divisors (see below), whose sum is σ = 4821120. Its totient is φ = 868224.

The previous prime is 2101447. The next prime is 2101471. The reversal of 2101456 is 6541012.

2101456 = T₁₃₅ + T₁₃₆ + ... + T₂₄₆.

It is a super-2 number, since 2×2101456² = 8832234639872, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2925 + ... + 3571.

It is an arithmetic number, because the mean of its divisors is an integer number (120528).

2^2101456 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 2101456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410560).

2101456 is an abundant number, since it is smaller than the sum of its proper divisors (2719664).

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

2101456 is a wasteful number, since it uses less digits than its factorization.

2101456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2101456 is about 1449.6399552992. The cubic root of 2101456 is about 128.0875052689.

Adding to 2101456 its reverse (6541012), we get a palindrome (8642468).

The spelling of 2101456 in words is "two million, one hundred one thousand, four hundred fifty-six".