2958080 has 36 divisors (see below), whose sum is σ = 7088592. Its totient is φ = 1182720.

The previous prime is 2958079. The next prime is 2958101. The reversal of 2958080 is 808592.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125 + ... + 2435.

2^2958080 is an apocalyptic number.

2958080 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 2958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544296).

2958080 is an abundant number, since it is smaller than the sum of its proper divisors (4130512).

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

2958080 is an equidigital number, since it uses as much as digits as its factorization.

2958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 2958080 is about 1719.9069742285. The cubic root of 2958080 is about 143.5500357672.

It can be divided in two parts, 29580 and 80, that multiplied together give a triangular number (2366400 = T₂₁₇₅).

The spelling of 2958080 in words is "two million, nine hundred fifty-eight thousand, eighty".