2958720 has 128 divisors (see below), whose sum is σ = 9987840. Its totient is φ = 743424.

The previous prime is 2958713. The next prime is 2958721. The reversal of 2958720 is 278592.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2958721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44127 + ... + 44193.

It is an arithmetic number, because the mean of its divisors is an integer number (78030).

2^2958720 is an apocalyptic number.

2958720 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 2958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993920).

2958720 is an abundant number, since it is smaller than the sum of its proper divisors (7029120).

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

2958720 is a wasteful number, since it uses less digits than its factorization.

2958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 2958720 is about 1720.0930207404. The cubic root of 2958720 is about 143.5603876845.

The spelling of 2958720 in words is "two million, nine hundred fifty-eight thousand, seven hundred twenty".