2920233664512 has 768 divisors, whose sum is σ = 9137319609600. Its totient is φ = 896909967360.

The previous prime is 2920233664451. The next prime is 2920233664577. The reversal of 2920233664512 is 2154663320292.

2920233664512 is a `hidden beast` number, since 2 + 9 + 20 + 23 + 36 + 64 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

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, 30105501648 + ... + 30105501744.

It is an arithmetic number, because the mean of its divisors is an integer number (11897551575).

Almost surely, 2^{2920233664512} 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 2920233664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568659804800).

2920233664512 is an abundant number, since it is smaller than the sum of its proper divisors (6217085945088).

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

2920233664512 is an equidigital number, since it uses as much as digits as its factorization.

2920233664512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 2920233664512 in words is "two trillion, nine hundred twenty billion, two hundred thirty-three million, six hundred sixty-four thousand, five hundred twelve".