2406884480 has 576 divisors, whose sum is σ = 8251865280. Its totient is φ = 651755520.

The previous prime is 2406884479. The next prime is 2406884509. The reversal of 2406884480 is 844886042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141581432 + ... + 141581448.

It is an arithmetic number, because the mean of its divisors is an integer number (14326155).

Almost surely, 2^2406884480 is an apocalyptic number.

2406884480 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 2406884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125932640).

2406884480 is an abundant number, since it is smaller than the sum of its proper divisors (5844980800).

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

2406884480 is a wasteful number, since it uses less digits than its factorization.

2406884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The square root of 2406884480 is about 49060.0089686090. The cubic root of 2406884480 is about 1340.1448718396.

The spelling of 2406884480 in words is "two billion, four hundred six million, eight hundred eighty-four thousand, four hundred eighty".