2306411024456 has 384 divisors, whose sum is σ = 5662863360000. Its totient is φ = 879448268160.

The previous prime is 2306411024387. The next prime is 2306411024497. The reversal of 2306411024456 is 6544201146032.

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, 3499864655 + ... + 3499865313.

It is an arithmetic number, because the mean of its divisors is an integer number (14747040000).

Almost surely, 2^{2306411024456} 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 2306411024456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831431680000).

2306411024456 is an abundant number, since it is smaller than the sum of its proper divisors (3356452335544).

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

2306411024456 is a wasteful number, since it uses less digits than its factorization.

2306411024456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 2306411024456 in words is "two trillion, three hundred six billion, four hundred eleven million, twenty-four thousand, four hundred fifty-six".