2648880 has 120 divisors (see below), whose sum is σ = 9613968. Its totient is φ = 649728.

The previous prime is 2648879. The next prime is 2648897. The reversal of 2648880 is 888462.

2648880 is a `hidden beast` number, since 2 + 648 + 8 + 8 + 0 = 666.

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

It is a Smith number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9219 + ... + 9501.

2^2648880 is an apocalyptic number.

2648880 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 2648880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806984).

2648880 is an abundant number, since it is smaller than the sum of its proper divisors (6965088).

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

2648880 is a wasteful number, since it uses less digits than its factorization.

2648880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 306 counting only the distinct ones).

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

The square root of 2648880 is about 1627.5380179891. The cubic root of 2648880 is about 138.3632521858.

The spelling of 2648880 in words is "two million, six hundred forty-eight thousand, eight hundred eighty".