2547688985088 has 720 divisors, whose sum is σ = 8015971873536. Its totient is φ = 717870366720.

The previous prime is 2547688985087. The next prime is 2547688985089. The reversal of 2547688985088 is 8805898867452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2547688985087) and next prime (2547688985089).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (2547688985087) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2905004106 + ... + 2905004982.

Almost surely, 2^{2547688985088} 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 2547688985088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007985936768).

2547688985088 is an abundant number, since it is smaller than the sum of its proper divisors (5468282888448).

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

2547688985088 is a wasteful number, since it uses less digits than its factorization.

2547688985088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 2477260800, while the sum is 78.

The spelling of 2547688985088 in words is "two trillion, five hundred forty-seven billion, six hundred eighty-eight million, nine hundred eighty-five thousand, eighty-eight".