2641105224576 has 672 divisors, whose sum is σ = 9555146055000. Its totient is φ = 696090544128.

The previous prime is 2641105224557. The next prime is 2641105224623. The reversal of 2641105224576 is 6754225011462.

2641105224576 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 1 + 0 + 52 + 24 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1761910675 + ... + 1761912173.

Almost surely, 2^{2641105224576} is an apocalyptic number.

2641105224576 is a gapful number since it is divisible by the number (26) 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 2641105224576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777573027500).

2641105224576 is an abundant number, since it is smaller than the sum of its proper divisors (6914040830424).

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

2641105224576 is an frugal number, since it uses more digits than its factorization.

2641105224576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2641105224576 in words is "two trillion, six hundred forty-one billion, one hundred five million, two hundred twenty-four thousand, five hundred seventy-six".