2760960 has 72 divisors (see below), whose sum is σ = 8830080. Its totient is φ = 735232.

The previous prime is 2760959. The next prime is 2760983. The reversal of 2760960 is 690672.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3481 + ... + 4199.

It is an arithmetic number, because the mean of its divisors is an integer number (122640).

2^2760960 is an apocalyptic number.

2760960 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 2760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415040).

2760960 is an abundant number, since it is smaller than the sum of its proper divisors (6069120).

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

2760960 is an equidigital number, since it uses as much as digits as its factorization.

2760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 2760960 is about 1661.6136735114. The cubic root of 2760960 is about 140.2878431565.

The spelling of 2760960 in words is "two million, seven hundred sixty thousand, nine hundred sixty".