2406532083840 has 1280 divisors, whose sum is σ = 9431855136000. Its totient is φ = 582410207232.

The previous prime is 2406532083829. The next prime is 2406532083863. The reversal of 2406532083840 is 483802356042.

2406532083840 is a `hidden beast` number, since 2 + 4 + 0 + 65 + 3 + 208 + 384 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4941544077 + ... + 4941544563.

It is an arithmetic number, because the mean of its divisors is an integer number (7368636825).

Almost surely, 2^{2406532083840} is an apocalyptic number.

2406532083840 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 2406532083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715927568000).

2406532083840 is an abundant number, since it is smaller than the sum of its proper divisors (7025323052160).

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

2406532083840 is a wasteful number, since it uses less digits than its factorization.

2406532083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 2406532083840 in words is "two trillion, four hundred six billion, five hundred thirty-two million, eighty-three thousand, eight hundred forty".