2616480 has 144 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 658944.

The previous prime is 2616469. The next prime is 2616491. The reversal of 2616480 is 846162.

2616480 is a `hidden beast` number, since 2 + 616 + 48 + 0 = 666.

2616480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2616469) and next prime (2616491).

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33081 + ... + 33159.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

2^2616480 is an apocalyptic number.

2616480 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 2616480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

2616480 is an abundant number, since it is smaller than the sum of its proper divisors (6818400).

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

2616480 is a wasteful number, since it uses less digits than its factorization.

2616480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2616480 is about 1617.5537085364. The cubic root of 2616480 is about 137.7968023986.

It can be divided in two parts, 26164 and 80, that added together give a square (26244 = 162²).

The spelling of 2616480 in words is "two million, six hundred sixteen thousand, four hundred eighty".