2661200365824 has 1440 divisors, whose sum is σ = 11024160618240. Its totient is φ = 615908966400.

The previous prime is 2661200365823. The next prime is 2661200365841. The reversal of 2661200365824 is 4285630021662.

2661200365824 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 200 + 365 + 82 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2661200365824.

It is not an unprimeable number, because it can be changed into a prime (2661200365823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 601943134 + ... + 601947554.

It is an arithmetic number, because the mean of its divisors is an integer number (7655667096).

Almost surely, 2^{2661200365824} is an apocalyptic number.

2661200365824 is a gapful number since it is divisible by the number (24) 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 2661200365824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5512080309120).

2661200365824 is an abundant number, since it is smaller than the sum of its proper divisors (8362960252416).

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

2661200365824 is a wasteful number, since it uses less digits than its factorization.

2661200365824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2661200365824 in words is "two trillion, six hundred sixty-one billion, two hundred million, three hundred sixty-five thousand, eight hundred twenty-four".