2378880 has 192 divisors, whose sum is σ = 9547200. Its totient is φ = 534528.

The previous prime is 2378869. The next prime is 2378891. The reversal of 2378880 is 888732.

It is an interprime number because it is at equal distance from previous prime (2378869) and next prime (2378891).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40291 + ... + 40349.

It is an arithmetic number, because the mean of its divisors is an integer number (49725).

2^2378880 is an apocalyptic number.

2378880 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 2378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773600).

2378880 is an abundant number, since it is smaller than the sum of its proper divisors (7168320).

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

2378880 is a wasteful number, since it uses less digits than its factorization.

2378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2378880 is about 1542.3618252537. The cubic root of 2378880 is about 133.4926983340.

The spelling of 2378880 in words is "two million, three hundred seventy-eight thousand, eight hundred eighty".