2521728000 has 528 divisors, whose sum is σ = 9963158400. Its totient is φ = 608256000.

The previous prime is 2521727941. The next prime is 2521728017. The reversal of 2521728000 is 8271252.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×2521728000² = 12718224211968000000, 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, 12671901 + ... + 12672099.

Almost surely, 2^2521728000 is an apocalyptic number.

2521728000 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 2521728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981579200).

2521728000 is an abundant number, since it is smaller than the sum of its proper divisors (7441430400).

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

2521728000 is a wasteful number, since it uses less digits than its factorization.

2521728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2521728000 is about 50216.8099345229. The cubic root of 2521728000 is about 1361.1293963329.

Adding to 2521728000 its reverse (8271252), we get a palindrome (2529999252).

The spelling of 2521728000 in words is "two billion, five hundred twenty-one million, seven hundred twenty-eight thousand".