2818969241088 has 2560 divisors, whose sum is σ = 11404070092800. Its totient is φ = 606928896000.

The previous prime is 2818969241087. The next prime is 2818969241131. The reversal of 2818969241088 is 8801429698182.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2818969241083) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 39703792093 + ... + 39703792163.

It is an arithmetic number, because the mean of its divisors is an integer number (4454714880).

Almost surely, 2^{2818969241088} is an apocalyptic number.

2818969241088 is a gapful number since it is divisible by the number (28) 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 2818969241088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702035046400).

2818969241088 is an abundant number, since it is smaller than the sum of its proper divisors (8585100851712).

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

2818969241088 is a wasteful number, since it uses less digits than its factorization.

2818969241088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 66.

The spelling of 2818969241088 in words is "two trillion, eight hundred eighteen billion, nine hundred sixty-nine million, two hundred forty-one thousand, eighty-eight".