2529246060 has 576 divisors, whose sum is σ = 9668865024. Its totient is φ = 551992320.

The previous prime is 2529246029. The next prime is 2529246091. The reversal of 2529246060 is 606429252.

2529246060 is a `hidden beast` number, since 2 + 5 + 29 + 24 + 606 + 0 = 666.

2529246060 is digitally balanced in base 2 and base 4, because in such bases 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 (2529246029) and next prime (2529246091).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109967209 + ... + 109967231.

It is an arithmetic number, because the mean of its divisors is an integer number (16786224).

Almost surely, 2^2529246060 is an apocalyptic number.

2529246060 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 2529246060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834432512).

2529246060 is an abundant number, since it is smaller than the sum of its proper divisors (7139618964).

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

2529246060 is a wasteful number, since it uses less digits than its factorization.

2529246060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2529246060 is about 50291.6102347101. The cubic root of 2529246060 is about 1362.4807051668.

The spelling of 2529246060 in words is "two billion, five hundred twenty-nine million, two hundred forty-six thousand, sixty".