2658720 has 96 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 680960.

The previous prime is 2658707. The next prime is 2658751. The reversal of 2658720 is 278562.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13825 + ... + 14015.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

2^2658720 is an apocalyptic number.

2658720 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 2658720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

2658720 is an abundant number, since it is smaller than the sum of its proper divisors (6050400).

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

2658720 is a wasteful number, since it uses less digits than its factorization.

2658720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2658720 is about 1630.5581866343. The cubic root of 2658720 is about 138.5343700405.

The spelling of 2658720 in words is "two million, six hundred fifty-eight thousand, seven hundred twenty".