2488992717312 has 720 divisors, whose sum is σ = 7712390125440. Its totient is φ = 802130853888.

The previous prime is 2488992717293. The next prime is 2488992717427. The reversal of 2488992717312 is 2137172998842.

2488992717312 is a `hidden beast` number, since 2 + 48 + 8 + 9 + 9 + 271 + 7 + 312 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2488992717312.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22026484168 + ... + 22026484280.

It is an arithmetic number, because the mean of its divisors is an integer number (10711652952).

Almost surely, 2^{2488992717312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2488992717312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856195062720).

2488992717312 is an abundant number, since it is smaller than the sum of its proper divisors (5223397408128).

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

2488992717312 is an frugal number, since it uses more digits than its factorization.

2488992717312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 280 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 2488992717312 in words is "two trillion, four hundred eighty-eight billion, nine hundred ninety-two million, seven hundred seventeen thousand, three hundred twelve".