2552738687488 has 320 divisors, whose sum is σ = 6019878953088. Its totient is φ = 1068401950720.

The previous prime is 2552738687479. The next prime is 2552738687657. The reversal of 2552738687488 is 8847868372552.

It is a self number, because there is not a number n which added to its sum of digits gives 2552738687488.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2978691156 + ... + 2978692012.

Almost surely, 2^{2552738687488} 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 2552738687488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009939476544).

2552738687488 is an abundant number, since it is smaller than the sum of its proper divisors (3467140265600).

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

2552738687488 is a wasteful number, since it uses less digits than its factorization.

2552738687488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1527 counting only the distinct ones).

The product of its digits is 1445068800, while the sum is 73.

The spelling of 2552738687488 in words is "two trillion, five hundred fifty-two billion, seven hundred thirty-eight million, six hundred eighty-seven thousand, four hundred eighty-eight".