2883160 has 48 divisors (see below), whose sum is σ = 7551360. Its totient is φ = 987840.

The previous prime is 2883157. The next prime is 2883163. The reversal of 2883160 is 613882.

It is an interprime number because it is at equal distance from previous prime (2883157) and next prime (2883163).

It is a super-2 number, since 2×2883160² = 16625223171200, which contains 22 as substring.

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

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2883163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1225 + ... + 2695.

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

2^2883160 is an apocalyptic number.

2883160 is a gapful number since it is divisible by the number (20) 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 2883160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775680).

2883160 is an abundant number, since it is smaller than the sum of its proper divisors (4668200).

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

2883160 is a wasteful number, since it uses less digits than its factorization.

2883160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 2883160 is about 1697.9870435313. The cubic root of 2883160 is about 142.3277491912.

It can be divided in two parts, 2883 and 160, that multiplied together give a triangular number (461280 = T₉₆₀).

The spelling of 2883160 in words is "two million, eight hundred eighty-three thousand, one hundred sixty".