2508484204800 has 3240 divisors, whose sum is σ = 11807447103144. Its totient is φ = 521711124480.

The previous prime is 2508484204757. The next prime is 2508484204801. The reversal of 2508484204800 is 84024848052.

2508484204800 is a `hidden beast` number, since 2 + 50 + 84 + 8 + 42 + 0 + 480 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 173309020416 + 2335175184384 = 416304^2 + 1528128^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2508484204801) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 15977606322 + ... + 15977606478.

Almost surely, 2^{2508484204800} is an apocalyptic number.

2508484204800 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 2508484204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5903723551572).

2508484204800 is an abundant number, since it is smaller than the sum of its proper divisors (9298962898344).

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

2508484204800 is a wasteful number, since it uses less digits than its factorization.

2508484204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 2508484204800 in words is "two trillion, five hundred eight billion, four hundred eighty-four million, two hundred four thousand, eight hundred".