2529827664 has 480 divisors, whose sum is σ = 9005423616. Its totient is φ = 603832320.

The previous prime is 2529827639. The next prime is 2529827669. The reversal of 2529827664 is 4667289252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2529827669) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16113474 + ... + 16113630.

Almost surely, 2^2529827664 is an apocalyptic number.

2529827664 is a gapful number since it is divisible by the number (24) 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 2529827664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502711808).

2529827664 is an abundant number, since it is smaller than the sum of its proper divisors (6475595952).

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

2529827664 is a wasteful number, since it uses less digits than its factorization.

2529827664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 230 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 2529827664 is about 50297.3922186827. The cubic root of 2529827664 is about 1362.5851320036.

The spelling of 2529827664 in words is "two billion, five hundred twenty-nine million, eight hundred twenty-seven thousand, six hundred sixty-four".