2529246720 has 960 divisors, whose sum is σ = 11285277696. Its totient is φ = 474808320.

The previous prime is 2529246701. The next prime is 2529246781. The reversal of 2529246720 is 276429252.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 53813737 + ... + 53813783.

Almost surely, 2^2529246720 is an apocalyptic number.

2529246720 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 2529246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642638848).

2529246720 is an abundant number, since it is smaller than the sum of its proper divisors (8756030976).

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

2529246720 is a wasteful number, since it uses less digits than its factorization.

2529246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2529246720 is about 50291.6167964403. The cubic root of 2529246720 is about 1362.4808236787.

The spelling of 2529246720 in words is "two billion, five hundred twenty-nine million, two hundred forty-six thousand, seven hundred twenty".