2285416 has 32 divisors (see below), whose sum is σ = 5034240. Its totient is φ = 952128.

The previous prime is 2285401. The next prime is 2285443. The reversal of 2285416 is 6145822.

2285416 = T₄₅₆ + T₄₅₇ + ... + T₄₇₆.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 1521 + ... + 2623.

It is an arithmetic number, because the mean of its divisors is an integer number (157320).

2^2285416 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 2285416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517120).

2285416 is an abundant number, since it is smaller than the sum of its proper divisors (2748824).

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

2285416 is a wasteful number, since it uses less digits than its factorization.

2285416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1149 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 2285416 is about 1511.7592400908. The cubic root of 2285416 is about 131.7210208387.

It can be divided in two parts, 2285 and 416, that added together give a triangular number (2701 = T₇₃).

The spelling of 2285416 in words is "two million, two hundred eighty-five thousand, four hundred sixteen".