2406880 has 72 divisors (see below), whose sum is σ = 6636168. Its totient is φ = 822528.

The previous prime is 2406851. The next prime is 2406919. The reversal of 2406880 is 886042.

2406880 = 67³ + 68³ + ... + 73³.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7687 + ... + 7993.

It is an arithmetic number, because the mean of its divisors is an integer number (92169).

2^2406880 is an apocalyptic number.

2406880 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 2406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318084).

2406880 is an abundant number, since it is smaller than the sum of its proper divisors (4229288).

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

2406880 is a wasteful number, since it uses less digits than its factorization.

2406880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2406880 is about 1551.4122598458. The cubic root of 2406880 is about 134.0144040356.

The spelling of 2406880 in words is "two million, four hundred six thousand, eight hundred eighty".