2628671520 has 96 divisors (see below), whose sum is σ = 8307411840. Its totient is φ = 698685440.

The previous prime is 2628671519. The next prime is 2628671537. The reversal of 2628671520 is 251768262.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2628671520² = 13819827920118220800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 140476 + ... + 158084.

It is an arithmetic number, because the mean of its divisors is an integer number (86535540).

Almost surely, 2^2628671520 is an apocalyptic number.

2628671520 is a gapful number since it is divisible by the number (20) 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 2628671520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153705920).

2628671520 is an abundant number, since it is smaller than the sum of its proper divisors (5678740320).

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

2628671520 is a wasteful number, since it uses less digits than its factorization.

2628671520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17938 (or 17930 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2628671520 is about 51270.5716761575. The cubic root of 2628671520 is about 1380.1049279595.

The spelling of 2628671520 in words is "two billion, six hundred twenty-eight million, six hundred seventy-one thousand, five hundred twenty".