2628652520520 has 256 divisors, whose sum is σ = 9490741747200. Its totient is φ = 643312143360.

The previous prime is 2628652520513. The next prime is 2628652520567. The reversal of 2628652520520 is 250252568262.

2628652520520 is a `hidden beast` number, since 2 + 6 + 2 + 86 + 5 + 25 + 20 + 520 = 666.

It is a super-2 number, since 2×2628652520520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1887805 + ... + 2970035.

It is an arithmetic number, because the mean of its divisors is an integer number (37073209950).

Almost surely, 2^{2628652520520} is an apocalyptic number.

2628652520520 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 2628652520520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745370873600).

2628652520520 is an abundant number, since it is smaller than the sum of its proper divisors (6862089226680).

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

2628652520520 is a wasteful number, since it uses less digits than its factorization.

2628652520520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082437 (or 1082427 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 2628652520520 in words is "two trillion, six hundred twenty-eight billion, six hundred fifty-two million, five hundred twenty thousand, five hundred twenty".