2531528064 has 144 divisors (see below), whose sum is σ = 7888811580. Its totient is φ = 778871808.

The previous prime is 2531528057. The next prime is 2531528101. The reversal of 2531528064 is 4608251352.

2531528064 is a `hidden beast` number, since 2 + 5 + 315 + 280 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 188187 + ... + 201189.

Almost surely, 2^2531528064 is an apocalyptic number.

2531528064 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 2531528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944405790).

2531528064 is an abundant number, since it is smaller than the sum of its proper divisors (5357283516).

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

2531528064 is a wasteful number, since it uses less digits than its factorization.

2531528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13049 (or 13021 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2531528064 is about 50314.2928401066. The cubic root of 2531528064 is about 1362.8903465816.

The spelling of 2531528064 in words is "two billion, five hundred thirty-one million, five hundred twenty-eight thousand, sixty-four".