2652389106768 has 300 divisors, whose sum is σ = 8349979867680. Its totient is φ = 810570084480.

The previous prime is 2652389106767. The next prime is 2652389106779. The reversal of 2652389106768 is 8676019832562.

It is a happy number.

2652389106768 is a `hidden beast` number, since 26 + 523 + 8 + 9 + 10 + 6 + 76 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2652389106767) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23607621 + ... + 23719707.

Almost surely, 2^{2652389106768} 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 2652389106768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174989933840).

2652389106768 is an abundant number, since it is smaller than the sum of its proper divisors (5697590760912).

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

2652389106768 is a wasteful number, since it uses less digits than its factorization.

2652389106768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112188 (or 112142 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2652389106768 in words is "two trillion, six hundred fifty-two billion, three hundred eighty-nine million, one hundred six thousand, seven hundred sixty-eight".