2606430456 has 192 divisors, whose sum is σ = 8208345600. Its totient is φ = 731844864.

The previous prime is 2606430443. The next prime is 2606430487. The reversal of 2606430456 is 6540346062.

2606430456 is a `hidden beast` number, since 2 + 6 + 0 + 643 + 0 + 4 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2606430456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14560975 + ... + 14561153.

It is an arithmetic number, because the mean of its divisors is an integer number (42751800).

Almost surely, 2^2606430456 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 2606430456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104172800).

2606430456 is an abundant number, since it is smaller than the sum of its proper divisors (5601915144).

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

2606430456 is a wasteful number, since it uses less digits than its factorization.

2606430456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2606430456 is about 51053.2120047309. The cubic root of 2606430456 is about 1376.2015645208.

The spelling of 2606430456 in words is "two billion, six hundred six million, four hundred thirty thousand, four hundred fifty-six".