2980960 has 48 divisors (see below), whose sum is σ = 7281792. Its totient is φ = 1152000.

The previous prime is 2980951. The next prime is 2980969. The reversal of 2980960 is 690892.

2980960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2980951) and next prime (2980969).

It is a super-2 number, since 2×2980960² = 17772245043200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2980969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4660 + ... + 5260.

It is an arithmetic number, because the mean of its divisors is an integer number (151704).

2^2980960 is an apocalyptic number.

2980960 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 2980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640896).

2980960 is an abundant number, since it is smaller than the sum of its proper divisors (4300832).

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

2980960 is a wasteful number, since it uses less digits than its factorization.

2980960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 2980960 is about 1726.5456843073. The cubic root of 2980960 is about 143.9191933464.

The spelling of 2980960 in words is "two million, nine hundred eighty thousand, nine hundred sixty".