2587191741772 has 288 divisors, whose sum is σ = 5528092038336. Its totient is φ = 1054204968960.

The previous prime is 2587191741727. The next prime is 2587191741779. The reversal of 2587191741772 is 2771471917852.

It is a super-2 number, since 2×2587191741772² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2587191741772.

It is not an unprimeable number, because it can be changed into a prime (2587191741779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2132886238 + ... + 2132887450.

It is an arithmetic number, because the mean of its divisors is an integer number (19194764022).

Almost surely, 2^{2587191741772} is an apocalyptic number.

2587191741772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2587191741772 is an abundant number, since it is smaller than the sum of its proper divisors (2940900296564).

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

2587191741772 is a wasteful number, since it uses less digits than its factorization.

2587191741772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1436 counting only the distinct ones).

The product of its digits is 13829760, while the sum is 61.

The spelling of 2587191741772 in words is "two trillion, five hundred eighty-seven billion, one hundred ninety-one million, seven hundred forty-one thousand, seven hundred seventy-two".