2652896606976 has 576 divisors, whose sum is σ = 10118212070400. Its totient is φ = 665299353600.

The previous prime is 2652896606963. The next prime is 2652896606977. The reversal of 2652896606976 is 6796066982562.

2652896606976 is a `hidden beast` number, since 2 + 6 + 5 + 2 + 8 + 9 + 6 + 606 + 9 + 7 + 6 = 666.

2652896606976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×2652896606976⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (2652896606977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15348556 + ... + 15520436.

It is an arithmetic number, because the mean of its divisors is an integer number (17566340400).

Almost surely, 2^{2652896606976} 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 2652896606976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059106035200).

2652896606976 is an abundant number, since it is smaller than the sum of its proper divisors (7465315463424).

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

2652896606976 is a wasteful number, since it uses less digits than its factorization.

2652896606976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171953 (or 171933 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 2652896606976 in words is "two trillion, six hundred fifty-two billion, eight hundred ninety-six million, six hundred six thousand, nine hundred seventy-six".