2628960384 has 128 divisors (see below), whose sum is σ = 7377048000. Its totient is φ = 827228160.

The previous prime is 2628960379. The next prime is 2628960391. The reversal of 2628960384 is 4830698262.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2628960384² = 13822865401282854912, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 2983624 + ... + 2984504.

Almost surely, 2^2628960384 is an apocalyptic number.

2628960384 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 2628960384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688524000).

2628960384 is an abundant number, since it is smaller than the sum of its proper divisors (4748087616).

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

2628960384 is a wasteful number, since it uses less digits than its factorization.

2628960384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 2628960384 is about 51273.3886533746. The cubic root of 2628960384 is about 1380.1554792265.

The spelling of 2628960384 in words is "two billion, six hundred twenty-eight million, nine hundred sixty thousand, three hundred eighty-four".