2830307534406 has 320 divisors, whose sum is σ = 7324717289472. Its totient is φ = 808493400000.

The previous prime is 2830307534387. The next prime is 2830307534407. The reversal of 2830307534406 is 6044357030382.

2830307534406 is a `hidden beast` number, since 2 + 83 + 0 + 30 + 7 + 534 + 4 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830307534407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 810742321 + ... + 810745811.

Almost surely, 2^{2830307534406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830307534406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662358644736).

2830307534406 is an abundant number, since it is smaller than the sum of its proper divisors (4494409755066).

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

2830307534406 is a wasteful number, since it uses less digits than its factorization.

2830307534406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 2830307534406 in words is "two trillion, eight hundred thirty billion, three hundred seven million, five hundred thirty-four thousand, four hundred six".