2641002884352 has 540 divisors, whose sum is σ = 9351155530080. Its totient is φ = 714829473792.

The previous prime is 2641002884341. The next prime is 2641002884363. The reversal of 2641002884352 is 2534882001462.

2641002884352 is a `hidden beast` number, since 2 + 6 + 4 + 10 + 0 + 288 + 4 + 352 = 666.

It is an interprime number because it is at equal distance from previous prime (2641002884341) and next prime (2641002884363).

It is a junction number, because it is equal to n+sod(n) for n = 2641002884298 and 2641002884307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105093613 + ... + 105118739.

Almost surely, 2^{2641002884352} 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 2641002884352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675577765040).

2641002884352 is an abundant number, since it is smaller than the sum of its proper divisors (6710152645728).

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

2641002884352 is an equidigital number, since it uses as much as digits as its factorization.

2641002884352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25196 (or 25158 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2641002884352 in words is "two trillion, six hundred forty-one billion, two million, eight hundred eighty-four thousand, three hundred fifty-two".