2504144000000 has 308 divisors, whose sum is σ = 6377442820812. Its totient is φ = 982425600000.

The previous prime is 2504143999999. The next prime is 2504144000023. The reversal of 2504144000000 is 4414052.

It can be written as a sum of positive squares in 14 ways, for example, as 2454511289344 + 49632710656 = 1566688^2 + 222784^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 847998524 + ... + 848001476.

Almost surely, 2^{2504144000000} is an apocalyptic number.

2504144000000 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 2504144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188721410406).

2504144000000 is an abundant number, since it is smaller than the sum of its proper divisors (3873298820812).

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

2504144000000 is an frugal number, since it uses more digits than its factorization.

2504144000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 2504144000000 its reverse (4414052), we get a palindrome (2504148414052).

The spelling of 2504144000000 in words is "two trillion, five hundred four billion, one hundred forty-four million", and thus it is an aban number.