2642541363072 has 1024 divisors, whose sum is σ = 8998045056000. Its totient is φ = 757577318400.

The previous prime is 2642541362983. The next prime is 2642541363083. The reversal of 2642541363072 is 2703631452462.

2642541363072 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 5 + 4 + 1 + 3 + 630 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5658546583 + ... + 5658547049.

It is an arithmetic number, because the mean of its divisors is an integer number (8787153375).

Almost surely, 2^{2642541363072} 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 2642541363072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499022528000).

2642541363072 is an abundant number, since it is smaller than the sum of its proper divisors (6355503692928).

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

2642541363072 is a wasteful number, since it uses less digits than its factorization.

2642541363072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 2642541363072 in words is "two trillion, six hundred forty-two billion, five hundred forty-one million, three hundred sixty-three thousand, seventy-two".