2889377424 has 120 divisors (see below), whose sum is σ = 8595312960. Its totient is φ = 903488256.

The previous prime is 2889377419. The next prime is 2889377437. The reversal of 2889377424 is 4247739882.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276682 + ... + 286934.

It is an arithmetic number, because the mean of its divisors is an integer number (71627608).

Almost surely, 2^2889377424 is an apocalyptic number.

2889377424 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 2889377424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297656480).

2889377424 is an abundant number, since it is smaller than the sum of its proper divisors (5705935536).

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

2889377424 is a wasteful number, since it uses less digits than its factorization.

2889377424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10389 (or 10380 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 2889377424 is about 53752.9294457521. The cubic root of 2889377424 is about 1424.2998384941.

The spelling of 2889377424 in words is "two billion, eight hundred eighty-nine million, three hundred seventy-seven thousand, four hundred twenty-four".