2391414516512 has 126 divisors (see below), whose sum is σ = 5499674006337. Its totient is φ = 1023605998464.

The previous prime is 2391414516511. The next prime is 2391414516539. The reversal of 2391414516512 is 2156154141932.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2390870507536 + 544008976 = 1546244^2 + 23324^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1093484.

It is a super-2 number, since 2×2391414516512² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2391414516511) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 3000519698 + ... + 3000520494.

Almost surely, 2^{2391414516512} 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 2391414516512

2391414516512 is an abundant number, since it is smaller than the sum of its proper divisors (3108259489825).

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

2391414516512 is an frugal number, since it uses more digits than its factorization.

2391414516512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 806 counting only the distinct ones).

The product of its digits is 259200, while the sum is 44.

The spelling of 2391414516512 in words is "two trillion, three hundred ninety-one billion, four hundred fourteen million, five hundred sixteen thousand, five hundred twelve".