2708640 has 240 divisors, whose sum is σ = 10977120. Its totient is φ = 622080.

The previous prime is 2708633. The next prime is 2708647. The reversal of 2708640 is 468072.

It is an interprime number because it is at equal distance from previous prime (2708633) and next prime (2708647).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2708647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142551 + ... + 142569.

It is an arithmetic number, because the mean of its divisors is an integer number (45738).

2^2708640 is an apocalyptic number.

2708640 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 2708640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488560).

2708640 is an abundant number, since it is smaller than the sum of its proper divisors (8268480).

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

2708640 is a wasteful number, since it uses less digits than its factorization.

2708640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2708640 is about 1645.7946408954. The cubic root of 2708640 is about 139.3960376992.

The spelling of 2708640 in words is "two million, seven hundred eight thousand, six hundred forty".