2948064 has 96 divisors (see below), whose sum is σ = 9144576. Its totient is φ = 814080.

The previous prime is 2948063. The next prime is 2948087. The reversal of 2948064 is 4608492.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2948063) 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, 27499 + ... + 27605.

It is an arithmetic number, because the mean of its divisors is an integer number (95256).

2^2948064 is an apocalyptic number.

2948064 is a gapful number since it is divisible by the number (24) 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 2948064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572288).

2948064 is an abundant number, since it is smaller than the sum of its proper divisors (6196512).

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

2948064 is a wasteful number, since it uses less digits than its factorization.

2948064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2948064 is about 1716.9927198448. The cubic root of 2948064 is about 143.3878333700.

The spelling of 2948064 in words is "two million, nine hundred forty-eight thousand, sixty-four".