2581952744448 has 2376 divisors, whose sum is σ = 10582161767424. Its totient is φ = 620786073600.

The previous prime is 2581952744447. The next prime is 2581952744489. The reversal of 2581952744448 is 8444472591852.

2581952744448 is a `hidden beast` number, since 2 + 5 + 81 + 95 + 27 + 4 + 4 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2581952744443) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 83288798193 + ... + 83288798223.

Almost surely, 2^{2581952744448} is an apocalyptic number.

2581952744448 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 2581952744448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291080883712).

2581952744448 is an abundant number, since it is smaller than the sum of its proper divisors (8000209022976).

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

2581952744448 is an equidigital number, since it uses as much as digits as its factorization.

2581952744448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 77 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 63.

The spelling of 2581952744448 in words is "two trillion, five hundred eighty-one billion, nine hundred fifty-two million, seven hundred forty-four thousand, four hundred forty-eight".