2654720 has 80 divisors (see below), whose sum is σ = 6850008. Its totient is φ = 983040.

The previous prime is 2654719. The next prime is 2654753. The reversal of 2654720 is 274562.

2654720 = T₂₆₄ + T₂₆₅ + ... + T₃₂₄.

It can be written as a sum of positive squares in 4 ways, for example, as 1763584 + 891136 = 1328^2 + 944^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2654720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43490 + ... + 43550.

2^2654720 is an apocalyptic number.

2654720 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 2654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425004).

2654720 is an abundant number, since it is smaller than the sum of its proper divisors (4195288).

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

2654720 is an equidigital number, since it uses as much as digits as its factorization.

2654720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 2654720 is about 1629.3311511169. The cubic root of 2654720 is about 138.4648609522.

The spelling of 2654720 in words is "two million, six hundred fifty-four thousand, seven hundred twenty".