2338080 has 48 divisors (see below), whose sum is σ = 7366464. Its totient is φ = 623360.

The previous prime is 2338079. The next prime is 2338081. The reversal of 2338080 is 808332.

It is an interprime number because it is at equal distance from previous prime (2338079) and next prime (2338081).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2338080.

It is not an unprimeable number, because it can be changed into a prime (2338081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1956 + ... + 2915.

It is an arithmetic number, because the mean of its divisors is an integer number (153468).

2^2338080 is an apocalyptic number.

2338080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2338080 is an abundant number, since it is smaller than the sum of its proper divisors (5028384).

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

2338080 is a wasteful number, since it uses less digits than its factorization.

2338080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2338080 is about 1529.0781536599. The cubic root of 2338080 is about 132.7251186694.

The spelling of 2338080 in words is "two million, three hundred thirty-eight thousand, eighty".