2380080 has 80 divisors (see below), whose sum is σ = 7570944. Its totient is φ = 618240.

The previous prime is 2380069. The next prime is 2380121. The reversal of 2380080 is 800832.

2380080 = T₁₀₅ + T₁₀₆ + ... + T₂₄₈.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 13.

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 15 ways as a sum of consecutive naturals, for example, 11175 + ... + 11385.

2^2380080 is an apocalyptic number.

2380080 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 2380080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785472).

2380080 is an abundant number, since it is smaller than the sum of its proper divisors (5190864).

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

2380080 is a wasteful number, since it uses less digits than its factorization.

2380080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2380080 is about 1542.7507899852. The cubic root of 2380080 is about 133.5151408714.

The spelling of 2380080 in words is "two million, three hundred eighty thousand, eighty".