2527021728 has 432 divisors, whose sum is σ = 9285808896. Its totient is φ = 644474880.

The previous prime is 2527021703. The next prime is 2527021811. The reversal of 2527021728 is 8271207252.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2527021692 and 2527021701.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11331825 + ... + 11332047.

It is an arithmetic number, because the mean of its divisors is an integer number (21494928).

Almost surely, 2^2527021728 is an apocalyptic number.

2527021728 is a gapful number since it is divisible by the number (28) 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 2527021728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642904448).

2527021728 is an abundant number, since it is smaller than the sum of its proper divisors (6758787168).

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

2527021728 is a wasteful number, since it uses less digits than its factorization.

2527021728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2527021728 is about 50269.4910258698. The cubic root of 2527021728 is about 1362.0811792196.

The spelling of 2527021728 in words is "two billion, five hundred twenty-seven million, twenty-one thousand, seven hundred twenty-eight".