2145766656 has 288 divisors, whose sum is σ = 6724988928. Its totient is φ = 600145920.

The previous prime is 2145766619. The next prime is 2145766657. The reversal of 2145766656 is 6566675412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145766657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9622161 + ... + 9622383.

It is an arithmetic number, because the mean of its divisors is an integer number (23350656).

Almost surely, 2^2145766656 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 2145766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362494464).

2145766656 is an abundant number, since it is smaller than the sum of its proper divisors (4579222272).

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

2145766656 is a wasteful number, since it uses less digits than its factorization.

2145766656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 323 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The square root of 2145766656 is about 46322.4206621372. The cubic root of 2145766656 is about 1289.8152202133.

The spelling of 2145766656 in words is "two billion, one hundred forty-five million, seven hundred sixty-six thousand, six hundred fifty-six".