2889030434304 has 320 divisors, whose sum is σ = 8892600837120. Its totient is φ = 816398991360.

The previous prime is 2889030434267. The next prime is 2889030434317. The reversal of 2889030434304 is 4034340309882.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1529395792 + ... + 1529397680.

It is an arithmetic number, because the mean of its divisors is an integer number (27789377616).

Almost surely, 2^{2889030434304} is an apocalyptic number.

2889030434304 is a gapful number since it is divisible by the number (24) 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 2889030434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446300418560).

2889030434304 is an abundant number, since it is smaller than the sum of its proper divisors (6003570402816).

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

2889030434304 is a wasteful number, since it uses less digits than its factorization.

2889030434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 2889030434304 in words is "two trillion, eight hundred eighty-nine billion, thirty million, four hundred thirty-four thousand, three hundred four".