2406783456 has 480 divisors, whose sum is σ = 9132963840. Its totient is φ = 603417600.

The previous prime is 2406783451. The next prime is 2406783469. The reversal of 2406783456 is 6543876042.

2406783456 is a `hidden beast` number, since 240 + 67 + 8 + 345 + 6 = 666.

2406783456 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2406783451) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6186910 + ... + 6187298.

It is an arithmetic number, because the mean of its divisors is an integer number (19027008).

Almost surely, 2^2406783456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2406783456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566481920).

2406783456 is an abundant number, since it is smaller than the sum of its proper divisors (6726180384).

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

2406783456 is a wasteful number, since it uses less digits than its factorization.

2406783456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2406783456 is about 49058.9793615807. The cubic root of 2406783456 is about 1340.1261216405.

The spelling of 2406783456 in words is "two billion, four hundred six million, seven hundred eighty-three thousand, four hundred fifty-six".