2889247076352 has 1820 divisors, whose sum is σ = 11234356745024. Its totient is φ = 737418608640.

The previous prime is 2889247076351. The next prime is 2889247076371. The reversal of 2889247076352 is 2536707429882.

2889247076352 is a `hidden beast` number, since 2 + 8 + 8 + 92 + 470 + 76 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2889247076352.

It is not an unprimeable number, because it can be changed into a prime (2889247076351) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 93201518577 + ... + 93201518607.

Almost surely, 2^{2889247076352} 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 2889247076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617178372512).

2889247076352 is an abundant number, since it is smaller than the sum of its proper divisors (8345109668672).

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

2889247076352 is an frugal number, since it uses more digits than its factorization.

2889247076352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 2889247076352 in words is "two trillion, eight hundred eighty-nine billion, two hundred forty-seven million, seventy-six thousand, three hundred fifty-two".