2880541440000 has 2160 divisors, whose sum is σ = 12589374798000. Its totient is φ = 658409472000.

The previous prime is 2880541439969. The next prime is 2880541440037. The reversal of 2880541440000 is 441450882.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 411505919997 + ... + 411505920003.

Almost surely, 2^{2880541440000} is an apocalyptic number.

2880541440000 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 2880541440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294687399000).

2880541440000 is an abundant number, since it is smaller than the sum of its proper divisors (9708833358000).

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

2880541440000 is an frugal number, since it uses more digits than its factorization.

2880541440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Adding to 2880541440000 its reverse (441450882), we get a palindrome (2880982890882).

The spelling of 2880541440000 in words is "two trillion, eight hundred eighty billion, five hundred forty-one million, four hundred forty thousand".