2587238528 has 64 divisors (see below), whose sum is σ = 5924992320. Its totient is φ = 1102341120.

The previous prime is 2587238471. The next prime is 2587238543. The reversal of 2587238528 is 8258327852.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146663 + ... + 163353.

It is an arithmetic number, because the mean of its divisors is an integer number (92578005).

Almost surely, 2^2587238528 is an apocalyptic number.

2587238528 is a gapful number since it is divisible by the number (28) 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 2587238528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962496160).

2587238528 is an abundant number, since it is smaller than the sum of its proper divisors (3337753792).

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

2587238528 is a wasteful number, since it uses less digits than its factorization.

2587238528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16885 (or 16873 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 50.

The square root of 2587238528 is about 50864.9046789631. The cubic root of 2587238528 is about 1372.8154451165.

The spelling of 2587238528 in words is "two billion, five hundred eighty-seven million, two hundred thirty-eight thousand, five hundred twenty-eight".