2958880 has 24 divisors (see below), whose sum is σ = 6990732. Its totient is φ = 1183488.

The previous prime is 2958877. The next prime is 2958887. The reversal of 2958880 is 888592.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2917264 + 41616 = 1708^2 + 204^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2958887) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9087 + ... + 9406.

2^2958880 is an apocalyptic number.

2958880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2958880 is an abundant number, since it is smaller than the sum of its proper divisors (4031852).

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

2958880 is a wasteful number, since it uses less digits than its factorization.

2958880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18508 (or 18500 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 2958880 is about 1720.1395292243. The cubic root of 2958880 is about 143.5629754305.

The spelling of 2958880 in words is "two million, nine hundred fifty-eight thousand, eight hundred eighty".