2506340461416 has 192 divisors, whose sum is σ = 7643386368000. Its totient is φ = 677198269440.

The previous prime is 2506340461357. The next prime is 2506340461439. The reversal of 2506340461416 is 6141640436052.

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, 585145 + ... + 2314103.

It is an arithmetic number, because the mean of its divisors is an integer number (39809304000).

Almost surely, 2^{2506340461416} 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 2506340461416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821693184000).

2506340461416 is an abundant number, since it is smaller than the sum of its proper divisors (5137045906584).

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

2506340461416 is a wasteful number, since it uses less digits than its factorization.

2506340461416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729032 (or 1729011 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 2506340461416 its reverse (6141640436052), we get a palindrome (8647980897468).

The spelling of 2506340461416 in words is "two trillion, five hundred six billion, three hundred forty million, four hundred sixty-one thousand, four hundred sixteen".