2529120000 has 360 divisors, whose sum is σ = 9195056640. Its totient is φ = 611840000.

The previous prime is 2529119993. The next prime is 2529120007. The reversal of 2529120000 is 219252.

2529120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2529119993) and next prime (2529120007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2529120007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5279761 + ... + 5280239.

It is an arithmetic number, because the mean of its divisors is an integer number (25541824).

Almost surely, 2^2529120000 is an apocalyptic number.

2529120000 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 2529120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597528320).

2529120000 is an abundant number, since it is smaller than the sum of its proper divisors (6665936640).

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

2529120000 is an equidigital number, since it uses as much as digits as its factorization.

2529120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2529120000 is about 50290.3569285405. The cubic root of 2529120000 is about 1362.4580690179.

Adding to 2529120000 its reverse (219252), we get a palindrome (2529339252).

The spelling of 2529120000 in words is "two billion, five hundred twenty-nine million, one hundred twenty thousand".