2547488896848 has 800 divisors, whose sum is σ = 9046691808000. Its totient is φ = 675931226112.

The previous prime is 2547488896831. The next prime is 2547488896891. The reversal of 2547488896848 is 8486988847452.

It is a happy number.

2547488896848 is a `hidden beast` number, since 2 + 5 + 4 + 7 + 488 + 8 + 96 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2428492228 + ... + 2428493276.

It is an arithmetic number, because the mean of its divisors is an integer number (11308364760).

Almost surely, 2^{2547488896848} is an apocalyptic number.

2547488896848 is a gapful number since it is divisible by the number (28) 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 2547488896848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523345904000).

2547488896848 is an abundant number, since it is smaller than the sum of its proper divisors (6499202911152).

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

2547488896848 is a wasteful number, since it uses less digits than its factorization.

2547488896848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1346 counting only the distinct ones).

The product of its digits is 7927234560, while the sum is 81.

The spelling of 2547488896848 in words is "two trillion, five hundred forty-seven billion, four hundred eighty-eight million, eight hundred ninety-six thousand, eight hundred forty-eight".