2946560 has 40 divisors (see below), whose sum is σ = 7070976. Its totient is φ = 1177600.

The previous prime is 2946533. The next prime is 2946563. The reversal of 2946560 is 656492.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2946563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1985 + ... + 3135.

2^2946560 is an apocalyptic number.

2946560 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 2946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535488).

2946560 is an abundant number, since it is smaller than the sum of its proper divisors (4124416).

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

2946560 is an equidigital number, since it uses as much as digits as its factorization.

2946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 2946560 is about 1716.5546889045. The cubic root of 2946560 is about 143.3634453891.

The spelling of 2946560 in words is "two million, nine hundred forty-six thousand, five hundred sixty".