2886480 has 120 divisors (see below), whose sum is σ = 10252320. Its totient is φ = 725760.

The previous prime is 2886467. The next prime is 2886487. The reversal of 2886480 is 846882.

2886480 is a `hidden beast` number, since 2 + 8 + 8 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2886487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13575 + ... + 13785.

It is an arithmetic number, because the mean of its divisors is an integer number (85436).

2^2886480 is an apocalyptic number.

2886480 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 2886480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126160).

2886480 is an abundant number, since it is smaller than the sum of its proper divisors (7365840).

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

2886480 is a wasteful number, since it uses less digits than its factorization.

2886480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2886480 is about 1698.9643904450. The cubic root of 2886480 is about 142.3823590485.

It can be divided in two parts, 2886 and 480, that multiplied together give a triangular number (1385280 = T₁₆₆₄).

The spelling of 2886480 in words is "two million, eight hundred eighty-six thousand, four hundred eighty".