2024532564012 has 192 divisors, whose sum is σ = 6046348492800. Its totient is φ = 573851485440.

The previous prime is 2024532564007. The next prime is 2024532564031. The reversal of 2024532564012 is 2104652354202.

2024532564012 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 5 + 3 + 2 + 5 + 640 + 1 + 2 = 666.

It is a super-2 number, since 2×2024532564012² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53840914 + ... + 53878502.

It is an arithmetic number, because the mean of its divisors is an integer number (31491398400).

Almost surely, 2^{2024532564012} 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 2024532564012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023174246400).

2024532564012 is an abundant number, since it is smaller than the sum of its proper divisors (4021815928788).

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

2024532564012 is a wasteful number, since it uses less digits than its factorization.

2024532564012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38173 (or 38165 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2024532564012 in words is "two trillion, twenty-four billion, five hundred thirty-two million, five hundred sixty-four thousand, twelve".