2414880 has 192 divisors, whose sum is σ = 9313920. Its totient is φ = 580608.

The previous prime is 2414861. The next prime is 2414887. The reversal of 2414880 is 884142.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2414887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56139 + ... + 56181.

It is an arithmetic number, because the mean of its divisors is an integer number (48510).

2^2414880 is an apocalyptic number.

2414880 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 2414880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

2414880 is an abundant number, since it is smaller than the sum of its proper divisors (6899040).

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

2414880 is a wasteful number, since it uses less digits than its factorization.

2414880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2414880 is about 1553.9884169452. The cubic root of 2414880 is about 134.1627190862.

The spelling of 2414880 in words is "two million, four hundred fourteen thousand, eight hundred eighty".