2889478452168 has 1536 divisors, whose sum is σ = 10944892108800. Its totient is φ = 671799744000.

The previous prime is 2889478452163. The next prime is 2889478452173. The reversal of 2889478452168 is 8612548749882.

2889478452168 is a `hidden beast` number, since 2 + 8 + 8 + 9 + 4 + 7 + 8 + 452 + 168 = 666.

It is an interprime number because it is at equal distance from previous prime (2889478452163) and next prime (2889478452173).

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

It is a junction number, because it is equal to n+sod(n) for n = 2889478452096 and 2889478452105.

It is not an unprimeable number, because it can be changed into a prime (2889478452163) 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 383 ways as a sum of consecutive naturals, for example, 28053188805 + ... + 28053188907.

It is an arithmetic number, because the mean of its divisors is an integer number (7125580800).

Almost surely, 2^{2889478452168} is an apocalyptic number.

2889478452168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2889478452168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472446054400).

2889478452168 is an abundant number, since it is smaller than the sum of its proper divisors (8055413656632).

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

2889478452168 is a wasteful number, since it uses less digits than its factorization.

2889478452168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 247 counting only the distinct ones).

The product of its digits is 495452160, while the sum is 72.

The spelling of 2889478452168 in words is "two trillion, eight hundred eighty-nine billion, four hundred seventy-eight million, four hundred fifty-two thousand, one hundred sixty-eight".