2581385632992 has 144 divisors (see below), whose sum is σ = 7726321354752. Its totient is φ = 847618992000.

The previous prime is 2581385632967. The next prime is 2581385632993. The reversal of 2581385632992 is 2992365831852.

2581385632992 is a `hidden beast` number, since 2 + 58 + 13 + 8 + 563 + 2 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2581385632993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1956384 + ... + 2998367.

It is an arithmetic number, because the mean of its divisors is an integer number (53655009408).

Almost surely, 2^{2581385632992} is an apocalyptic number.

It is an amenable number.

2581385632992 is an abundant number, since it is smaller than the sum of its proper divisors (5144935721760).

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

2581385632992 is an equidigital number, since it uses as much as digits as its factorization.

2581385632992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4954843 (or 4954823 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 2581385632992 in words is "two trillion, five hundred eighty-one billion, three hundred eighty-five million, six hundred thirty-two thousand, nine hundred ninety-two".