2724960 has 96 divisors (see below), whose sum is σ = 9821952. Its totient is φ = 622080.

The previous prime is 2724959. The next prime is 2724979. The reversal of 2724960 is 694272.

It is a happy number.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2955 + ... + 3765.

It is an arithmetic number, because the mean of its divisors is an integer number (102312).

2^2724960 is an apocalyptic number.

2724960 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 2724960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910976).

2724960 is an abundant number, since it is smaller than the sum of its proper divisors (7096992).

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

2724960 is a wasteful number, since it uses less digits than its factorization.

2724960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2724960 is about 1650.7452862268. The cubic root of 2724960 is about 139.6754386285.

The spelling of 2724960 in words is "two million, seven hundred twenty-four thousand, nine hundred sixty".