2587152768 has 64 divisors (see below), whose sum is σ = 6877427520. Its totient is φ = 861719040.

The previous prime is 2587152761. The next prime is 2587152781. The reversal of 2587152768 is 8672517852.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2587152768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587152761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 945963 + ... + 948693.

It is an arithmetic number, because the mean of its divisors is an integer number (107459805).

Almost surely, 2^2587152768 is an apocalyptic number.

It is an amenable number.

2587152768 is an abundant number, since it is smaller than the sum of its proper divisors (4290274752).

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

2587152768 is a wasteful number, since it uses less digits than its factorization.

2587152768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215 (or 5203 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 51.

The square root of 2587152768 is about 50864.0616545710. The cubic root of 2587152768 is about 1372.8002765688.

The spelling of 2587152768 in words is "two billion, five hundred eighty-seven million, one hundred fifty-two thousand, seven hundred sixty-eight".