2412665328672 has 288 divisors, whose sum is σ = 7155560752704. Its totient is φ = 799665177600.

The previous prime is 2412665328599. The next prime is 2412665328751. The reversal of 2412665328672 is 2768235662142.

2412665328672 is a `hidden beast` number, since 2 + 4 + 1 + 26 + 6 + 532 + 86 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1488380022 + ... + 1488381642.

It is an arithmetic number, because the mean of its divisors is an integer number (24845697058).

Almost surely, 2^{2412665328672} 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 2412665328672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577780376352).

2412665328672 is an abundant number, since it is smaller than the sum of its proper divisors (4742895424032).

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

2412665328672 is a wasteful number, since it uses less digits than its factorization.

2412665328672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2594 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 2412665328672 in words is "two trillion, four hundred twelve billion, six hundred sixty-five million, three hundred twenty-eight thousand, six hundred seventy-two".