2987253866560 has 112 divisors (see below), whose sum is σ = 7533552282624. Its totient is φ = 1124356579328.

The previous prime is 2987253866491. The next prime is 2987253866561. The reversal of 2987253866560 is 656683527892.

It is not an unprimeable number, because it can be changed into a prime (2987253866561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24675297 + ... + 24796063.

Almost surely, 2^{2987253866560} is an apocalyptic number.

2987253866560 is a gapful number since it is divisible by the number (20) 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 2987253866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766776141312).

2987253866560 is an abundant number, since it is smaller than the sum of its proper divisors (4546298416064).

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

2987253866560 is a wasteful number, since it uses less digits than its factorization.

2987253866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125348 (or 125338 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 67.

The spelling of 2987253866560 in words is "two trillion, nine hundred eighty-seven billion, two hundred fifty-three million, eight hundred sixty-six thousand, five hundred sixty".