2529165312 has 138 divisors (see below), whose sum is σ = 7415528588. Its totient is φ = 830472192.

The previous prime is 2529165311. The next prime is 2529165343. The reversal of 2529165312 is 2135619252.

It is a happy number.

2529165312 is a `hidden beast` number, since 252 + 91 + 6 + 5 + 312 = 666.

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

Its product of digits (32400) is a multiple of the sum of its prime divisors (72).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2529165311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37748703 + ... + 37748769.

Almost surely, 2^2529165312 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 2529165312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707764294).

2529165312 is an abundant number, since it is smaller than the sum of its proper divisors (4886363276).

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

2529165312 is an frugal number, since it uses more digits than its factorization.

2529165312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 72 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 2529165312 is about 50290.8074303843. The cubic root of 2529165312 is about 1362.4662056203.

The spelling of 2529165312 in words is "two billion, five hundred twenty-nine million, one hundred sixty-five thousand, three hundred twelve".