2414642640512 has 128 divisors (see below), whose sum is σ = 5080361634000. Its totient is φ = 1141401124864.

The previous prime is 2414642640493. The next prime is 2414642640517. The reversal of 2414642640512 is 2150462464142.

It can be written as a sum of positive squares in 8 ways, for example, as 2040852245056 + 373790395456 = 1428584^2 + 611384^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2414642640512.

It is not an unprimeable number, because it can be changed into a prime (2414642640517) 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 15 ways as a sum of consecutive naturals, for example, 100126568 + ... + 100150680.

Almost surely, 2^{2414642640512} 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 2414642640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540180817000).

2414642640512 is an abundant number, since it is smaller than the sum of its proper divisors (2665718993488).

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

2414642640512 is a wasteful number, since it uses less digits than its factorization.

2414642640512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24718 (or 24706 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 41.

The spelling of 2414642640512 in words is "two trillion, four hundred fourteen billion, six hundred forty-two million, six hundred forty thousand, five hundred twelve".