2406530880 has 672 divisors, whose sum is σ = 9985248000. Its totient is φ = 525533184.

The previous prime is 2406530851. The next prime is 2406530891. The reversal of 2406530880 is 880356042.

2406530880 is a `hidden beast` number, since 2 + 40 + 6 + 530 + 8 + 80 = 666.

2406530880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12093021 + ... + 12093219.

It is an arithmetic number, because the mean of its divisors is an integer number (14859000).

Almost surely, 2^2406530880 is an apocalyptic number.

2406530880 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 2406530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992624000).

2406530880 is an abundant number, since it is smaller than the sum of its proper divisors (7578717120).

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

2406530880 is a wasteful number, since it uses less digits than its factorization.

2406530880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2406530880 is about 49056.4050863901. The cubic root of 2406530880 is about 1340.0792408772.

It can be divided in two parts, 24065 and 30880, that added together give a palindrome (54945).

The spelling of 2406530880 in words is "two billion, four hundred six million, five hundred thirty thousand, eight hundred eighty".