2628519264 has 288 divisors, whose sum is σ = 8911558656. Its totient is φ = 719124480.

The previous prime is 2628519217. The next prime is 2628519293. The reversal of 2628519264 is 4629158262.

2628519264 is a `hidden beast` number, since 2 + 628 + 5 + 19 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2628519264² = 13818227042438203392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8561799 + ... + 8562105.

It is an arithmetic number, because the mean of its divisors is an integer number (30942912).

Almost surely, 2^2628519264 is an apocalyptic number.

2628519264 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 2628519264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455779328).

2628519264 is an abundant number, since it is smaller than the sum of its proper divisors (6283039392).

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

2628519264 is a wasteful number, since it uses less digits than its factorization.

2628519264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 487 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2628519264 is about 51269.0868262738. The cubic root of 2628519264 is about 1380.0782816337.

The spelling of 2628519264 in words is "two billion, six hundred twenty-eight million, five hundred nineteen thousand, two hundred sixty-four".