2529342720 has 288 divisors, whose sum is σ = 9050832000. Its totient is φ = 668860416.

The previous prime is 2529342713. The next prime is 2529342743. The reversal of 2529342720 is 272439252.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5633056 + ... + 5633504.

It is an arithmetic number, because the mean of its divisors is an integer number (31426500).

Almost surely, 2^2529342720 is an apocalyptic number.

2529342720 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 2529342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525416000).

2529342720 is an abundant number, since it is smaller than the sum of its proper divisors (6521489280).

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

2529342720 is a wasteful number, since it uses less digits than its factorization.

2529342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2529342720 is about 50292.5712208076. The cubic root of 2529342720 is about 1362.4980615521.

The spelling of 2529342720 in words is "two billion, five hundred twenty-nine million, three hundred forty-two thousand, seven hundred twenty".