2938880 has 96 divisors (see below), whose sum is σ = 8255520. Its totient is φ = 983040.

The previous prime is 2938861. The next prime is 2938927. The reversal of 2938880 is 888392.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 71660 + ... + 71700.

It is an arithmetic number, because the mean of its divisors is an integer number (85995).

2^2938880 is an apocalyptic number.

2938880 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 2938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

2938880 is an abundant number, since it is smaller than the sum of its proper divisors (5316640).

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

2938880 is an equidigital number, since it uses as much as digits as its factorization.

2938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 2938880 is about 1714.3161902053. The cubic root of 2938880 is about 143.2387814607.

The spelling of 2938880 in words is "two million, nine hundred thirty-eight thousand, eight hundred eighty".