2402816 has 60 divisors (see below), whose sum is σ = 5456682. Its totient is φ = 1050624.

The previous prime is 2402791. The next prime is 2402819. The reversal of 2402816 is 6182042.

It can be written as a sum of positive squares in only one way, i.e., 2310400 + 92416 = 1520^2 + 304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2402791 and 2402800.

It is not an unprimeable number, because it can be changed into a prime (2402819) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126455 + ... + 126473.

2^2402816 is an apocalyptic number.

2402816 is a gapful number since it is divisible by the number (26) 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 2402816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728341).

2402816 is an abundant number, since it is smaller than the sum of its proper divisors (3053866).

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

2402816 is an equidigital number, since it uses as much as digits as its factorization.

2402816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2402816 is about 1550.1019321322. The cubic root of 2402816 is about 133.9389340824.

Adding to 2402816 its reverse (6182042), we get a palindrome (8584858).

The spelling of 2402816 in words is "two million, four hundred two thousand, eight hundred sixteen".