2488627384320 has 1664 divisors, whose sum is σ = 10435496509440. Its totient is φ = 491323392000.

The previous prime is 2488627384303. The next prime is 2488627384333. The reversal of 2488627384320 is 234837268842.

It is a super-5 number, since 5×2488627384320⁵ (a number of 63 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10412666761 + ... + 10412666999.

Almost surely, 2^{2488627384320} is an apocalyptic number.

2488627384320 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 2488627384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217748254720).

2488627384320 is an abundant number, since it is smaller than the sum of its proper divisors (7946869125120).

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

2488627384320 is a wasteful number, since it uses less digits than its factorization.

2488627384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 57.

The spelling of 2488627384320 in words is "two trillion, four hundred eighty-eight billion, six hundred twenty-seven million, three hundred eighty-four thousand, three hundred twenty".