2628817984 has 189 divisors, whose sum is σ = 6214573677. Its totient is φ = 1102553088.

The previous prime is 2628817969. The next prime is 2628817991. The reversal of 2628817984 is 4897188262.

It is a happy number.

The square root of 2628817984 is 51272.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1499857984 + 1128960000 = 38728^2 + 33600^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90648882 + ... + 90648910.

Almost surely, 2^2628817984 is an apocalyptic number.

2628817984 is the 51272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2628817984

2628817984 is an abundant number, since it is smaller than the sum of its proper divisors (3585755693).

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

2628817984 is a wasteful number, since it uses less digits than its factorization.

2628817984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 61 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 55.

The cubic root of 2628817984 is about 1380.1305596562.

The spelling of 2628817984 in words is "two billion, six hundred twenty-eight million, eight hundred seventeen thousand, nine hundred eighty-four".