2889235382880 has 1536 divisors, whose sum is σ = 11914577805312. Its totient is φ = 571288780800.

The previous prime is 2889235382863. The next prime is 2889235382927. The reversal of 2889235382880 is 882835329882.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 16700782474 + ... + 16700782646.

It is an arithmetic number, because the mean of its divisors is an integer number (7756886592).

Almost surely, 2^{2889235382880} is an apocalyptic number.

2889235382880 is a gapful number since it is divisible by the number (20) 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 2889235382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957288902656).

2889235382880 is an abundant number, since it is smaller than the sum of its proper divisors (9025342422432).

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

2889235382880 is a wasteful number, since it uses less digits than its factorization.

2889235382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 66.

The spelling of 2889235382880 in words is "two trillion, eight hundred eighty-nine billion, two hundred thirty-five million, three hundred eighty-two thousand, eight hundred eighty".