2885376 has 108 divisors (see below), whose sum is σ = 8785112. Its totient is φ = 835584.

The previous prime is 2885353. The next prime is 2885417. The reversal of 2885376 is 6735882.

It is a super-2 number, since 2×2885376² = 16650789322752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) 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 (39).

Its product of digits (80640) is a multiple of the sum of its prime divisors (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169720 + ... + 169736.

2^2885376 is an apocalyptic number.

2885376 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 2885376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392556).

2885376 is an abundant number, since it is smaller than the sum of its proper divisors (5899736).

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

2885376 is a wasteful number, since it uses less digits than its factorization.

2885376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 35 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 2885376 is about 1698.6394555644. The cubic root of 2885376 is about 142.3642042754.

Multiplying 2885376 by its sum of digits (39), we get a square (112529664 = 10608²).

2885376 divided by its sum of digits (39) gives a square (73984 = 272²).

The spelling of 2885376 in words is "two million, eight hundred eighty-five thousand, three hundred seventy-six".