2889703325376 has 1008 divisors, whose sum is σ = 10534373241600. Its totient is φ = 768041367552.

The previous prime is 2889703325363. The next prime is 2889703325381. The reversal of 2889703325376 is 6735233079882.

2889703325376 is a `hidden beast` number, since 2 + 8 + 8 + 97 + 0 + 3 + 3 + 2 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×2889703325376² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3294986250 + ... + 3294987126.

Almost surely, 2^{2889703325376} 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 2889703325376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267186620800).

2889703325376 is an abundant number, since it is smaller than the sum of its proper divisors (7644669916224).

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

2889703325376 is an frugal number, since it uses more digits than its factorization.

2889703325376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 2889703325376 in words is "two trillion, eight hundred eighty-nine billion, seven hundred three million, three hundred twenty-five thousand, three hundred seventy-six".