2529397632 has 256 divisors, whose sum is σ = 7614259200. Its totient is φ = 739737600.

The previous prime is 2529397631. The next prime is 2529397639. The reversal of 2529397632 is 2367939252.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2529397631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5868457 + ... + 5868887.

It is an arithmetic number, because the mean of its divisors is an integer number (29743200).

Almost surely, 2^2529397632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2529397632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807129600).

2529397632 is an abundant number, since it is smaller than the sum of its proper divisors (5084861568).

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

2529397632 is a wasteful number, since it uses less digits than its factorization.

2529397632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 513 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 48.

The square root of 2529397632 is about 50293.1171434024. The cubic root of 2529397632 is about 1362.5079214196.

The spelling of 2529397632 in words is "two billion, five hundred twenty-nine million, three hundred ninety-seven thousand, six hundred thirty-two".