2529574368 has 96 divisors (see below), whose sum is σ = 6787452672. Its totient is φ = 824678400.

The previous prime is 2529574361. The next prime is 2529574393. The reversal of 2529574368 is 8634759252.

It is a happy number.

2529574368 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 a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2529574368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2529574361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 891480 + ... + 894312.

It is an arithmetic number, because the mean of its divisors is an integer number (70702632).

Almost surely, 2^2529574368 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 2529574368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393726336).

2529574368 is an abundant number, since it is smaller than the sum of its proper divisors (4257878304).

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

2529574368 is a wasteful number, since it uses less digits than its factorization.

2529574368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3040 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The square root of 2529574368 is about 50294.8741722255. The cubic root of 2529574368 is about 1362.5396547446.

The spelling of 2529574368 in words is "two billion, five hundred twenty-nine million, five hundred seventy-four thousand, three hundred sixty-eight".