2466816 has 88 divisors (see below), whose sum is σ = 7270944. Its totient is φ = 737280.

The previous prime is 2466803. The next prime is 2466829. The reversal of 2466816 is 6186642.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2466803) and next prime (2466829).

It is a tau number, because it is divible by the number of its divisors (88).

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33756 + ... + 33828.

2^2466816 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 2466816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635472).

2466816 is an abundant number, since it is smaller than the sum of its proper divisors (4804128).

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

2466816 is a wasteful number, since it uses less digits than its factorization.

2466816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 2466816 is about 1570.6100725514. The cubic root of 2466816 is about 135.1177025614.

The spelling of 2466816 in words is "two million, four hundred sixty-six thousand, eight hundred sixteen".