2628169632 has 384 divisors, whose sum is σ = 8781696000. Its totient is φ = 757693440.

The previous prime is 2628169619. The next prime is 2628169667. The reversal of 2628169632 is 2369618262.

2628169632 is a `hidden beast` number, since 2 + 6 + 2 + 8 + 1 + 6 + 9 + 632 = 666.

2628169632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2628169632² = 13814551229134030848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24111594 + ... + 24111702.

It is an arithmetic number, because the mean of its divisors is an integer number (22869000).

Almost surely, 2^2628169632 is an apocalyptic number.

2628169632 is a gapful number since it is divisible by the number (22) 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 2628169632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390848000).

2628169632 is an abundant number, since it is smaller than the sum of its proper divisors (6153526368).

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

2628169632 is a wasteful number, since it uses less digits than its factorization.

2628169632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 2628169632 is about 51265.6769388643. The cubic root of 2628169632 is about 1380.0170886353.

The spelling of 2628169632 in words is "two billion, six hundred twenty-eight million, one hundred sixty-nine thousand, six hundred thirty-two".