2529072000 has 768 divisors, whose sum is σ = 11236417920. Its totient is φ = 530841600.

The previous prime is 2529071947. The next prime is 2529072041. The reversal of 2529072000 is 2709252.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13103904 + ... + 13104096.

Almost surely, 2^2529072000 is an apocalyptic number.

2529072000 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 2529072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618208960).

2529072000 is an abundant number, since it is smaller than the sum of its proper divisors (8707345920).

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

2529072000 is a wasteful number, since it uses less digits than its factorization.

2529072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2529072000 is about 50289.8796976091. The cubic root of 2529072000 is about 1362.4494496297.

The spelling of 2529072000 in words is "two billion, five hundred twenty-nine million, seventy-two thousand".