2511281636864 has 960 divisors, whose sum is σ = 7113486707712. Its totient is φ = 859167129600.

The previous prime is 2511281636839. The next prime is 2511281636869. The reversal of 2511281636864 is 4686361821152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2511281636869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15037614509 + ... + 15037614675.

Almost surely, 2^{2511281636864} 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 2511281636864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556743353856).

2511281636864 is an abundant number, since it is smaller than the sum of its proper divisors (4602205070848).

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

2511281636864 is a wasteful number, since it uses less digits than its factorization.

2511281636864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 298 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 53.

The spelling of 2511281636864 in words is "two trillion, five hundred eleven billion, two hundred eighty-one million, six hundred thirty-six thousand, eight hundred sixty-four".