2544421440000 has 800 divisors, whose sum is σ = 9355000241664. Its totient is φ = 609187840000.

The previous prime is 2544421439993. The next prime is 2544421440019. The reversal of 2544421440000 is 441244452.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2544421440000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 876478549 + ... + 876481451.

Almost surely, 2^{2544421440000} is an apocalyptic number.

2544421440000 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 2544421440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677500120832).

2544421440000 is an abundant number, since it is smaller than the sum of its proper divisors (6810578801664).

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

2544421440000 is an equidigital number, since it uses as much as digits as its factorization.

2544421440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 2544421440000 its reverse (441244452), we get a palindrome (2544862684452).

The spelling of 2544421440000 in words is "two trillion, five hundred forty-four billion, four hundred twenty-one million, four hundred forty thousand".