2529134064 has 160 divisors (see below), whose sum is σ = 7712988480. Its totient is φ = 790732800.

The previous prime is 2529134057. The next prime is 2529134071. The reversal of 2529134064 is 4604319252.

It is a happy number.

2529134064 is a `hidden beast` number, since 25 + 291 + 340 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2529134057) and next prime (2529134071).

It is a super-2 number, since 2×2529134064² = 12793038227370312192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3825894 + ... + 3826554.

It is an arithmetic number, because the mean of its divisors is an integer number (48206178).

Almost surely, 2^2529134064 is an apocalyptic number.

2529134064 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 2529134064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856494240).

2529134064 is an abundant number, since it is smaller than the sum of its proper divisors (5183854416).

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

2529134064 is a wasteful number, since it uses less digits than its factorization.

2529134064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1204 counting only the distinct ones).

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

The square root of 2529134064 is about 50290.4967563455. The cubic root of 2529134064 is about 1362.4605944780.

The spelling of 2529134064 in words is "two billion, five hundred twenty-nine million, one hundred thirty-four thousand, sixty-four".