2628139584 has 224 divisors, whose sum is σ = 8456371200. Its totient is φ = 703641600.

The previous prime is 2628139583. The next prime is 2628139663. The reversal of 2628139584 is 4859318262.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (2628139583) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2578627 + ... + 2579645.

Almost surely, 2^2628139584 is an apocalyptic number.

2628139584 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 2628139584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228185600).

2628139584 is an abundant number, since it is smaller than the sum of its proper divisors (5828231616).

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

2628139584 is a wasteful number, since it uses less digits than its factorization.

2628139584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1151 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 2628139584 is about 51265.3838764521. The cubic root of 2628139584 is about 1380.0118293462.

The spelling of 2628139584 in words is "two billion, six hundred twenty-eight million, one hundred thirty-nine thousand, five hundred eighty-four".