2948720 has 80 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 1075200.

The previous prime is 2948713. The next prime is 2948723. The reversal of 2948720 is 278492.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2948723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71900 + ... + 71940.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

2^2948720 is an apocalyptic number.

2948720 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 2948720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2948720 is an abundant number, since it is smaller than the sum of its proper divisors (4550800).

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

2948720 is a wasteful number, since it uses less digits than its factorization.

2948720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2948720 is about 1717.1837408967. The cubic root of 2948720 is about 143.3984680829.

The spelling of 2948720 in words is "two million, nine hundred forty-eight thousand, seven hundred twenty".