2930880 has 112 divisors (see below), whose sum is σ = 9656064. Its totient is φ = 752640.

The previous prime is 2930869. The next prime is 2930887. The reversal of 2930880 is 880392.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2930887) 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, 41245 + ... + 41315.

2^2930880 is an apocalyptic number.

2930880 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 2930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828032).

2930880 is an abundant number, since it is smaller than the sum of its proper divisors (6725184).

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

2930880 is a wasteful number, since it uses less digits than its factorization.

2930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2930880 is about 1711.9813083092. The cubic root of 2930880 is about 143.1086920392.

The spelling of 2930880 in words is "two million, nine hundred thirty thousand, eight hundred eighty".