2488821760000 has 675 divisors, whose sum is σ = 6842963846719. Its totient is φ = 904658944000.

The previous prime is 2488821759979. The next prime is 2488821760039. The reversal of 2488821760000 is 671288842.

It is a happy number.

The square root of 2488821760000 is 1577600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 2485591883776 + 3229876224 = 1576576^2 + 56832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 85821439986 + ... + 85821440014.

Almost surely, 2^{2488821760000} is an apocalyptic number.

2488821760000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2488821760000 is the 1577600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2488821760000

2488821760000 is an abundant number, since it is smaller than the sum of its proper divisors (4354142086719).

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

2488821760000 is an frugal number, since it uses more digits than its factorization.

2488821760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The spelling of 2488821760000 in words is "two trillion, four hundred eighty-eight billion, eight hundred twenty-one million, seven hundred sixty thousand".