2868480 has 144 divisors (see below), whose sum is σ = 10301760. Its totient is φ = 755712.

The previous prime is 2868479. The next prime is 2868493. The reversal of 2868480 is 848682.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34519 + ... + 34601.

It is an arithmetic number, because the mean of its divisors is an integer number (71540).

2^2868480 is an apocalyptic number.

2868480 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 2868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150880).

2868480 is an abundant number, since it is smaller than the sum of its proper divisors (7433280).

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

2868480 is an equidigital number, since it uses as much as digits as its factorization.

2868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 93 counting only the distinct ones).

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

The square root of 2868480 is about 1693.6587613802. The cubic root of 2868480 is about 142.0857777051.

The spelling of 2868480 in words is "two million, eight hundred sixty-eight thousand, four hundred eighty".