2687157541984 has 144 divisors (see below), whose sum is σ = 5780141277120. Its totient is φ = 1228032368640.

The previous prime is 2687157541967. The next prime is 2687157541987. The reversal of 2687157541984 is 4891457517862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687157541987) 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 23 ways as a sum of consecutive naturals, for example, 47590249 + ... + 47646679.

It is an arithmetic number, because the mean of its divisors is an integer number (40139869980).

Almost surely, 2^{2687157541984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2687157541984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890070638560).

2687157541984 is an abundant number, since it is smaller than the sum of its proper divisors (3092983735136).

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

2687157541984 is a wasteful number, since it uses less digits than its factorization.

2687157541984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56613 (or 56582 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 67.

The spelling of 2687157541984 in words is "two trillion, six hundred eighty-seven billion, one hundred fifty-seven million, five hundred forty-one thousand, nine hundred eighty-four".