2946720 has 96 divisors (see below), whose sum is σ = 10620288. Its totient is φ = 672768.

The previous prime is 2946683. The next prime is 2946743. The reversal of 2946720 is 276492.

It is a happy number.

2946720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2922 + ... + 3798.

It is an arithmetic number, because the mean of its divisors is an integer number (110628).

2^2946720 is an apocalyptic number.

2946720 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 2946720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310144).

2946720 is an abundant number, since it is smaller than the sum of its proper divisors (7673568).

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

2946720 is a wasteful number, since it uses less digits than its factorization.

2946720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 894 counting only the distinct ones).

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

The square root of 2946720 is about 1716.6012932536. The cubic root of 2946720 is about 143.3660402496.

The spelling of 2946720 in words is "two million, nine hundred forty-six thousand, seven hundred twenty".