2661345652000 has 96 divisors (see below), whose sum is σ = 7473058669440. Its totient is φ = 912461356800.

The previous prime is 2661345651917. The next prime is 2661345652061. The reversal of 2661345652000 is 2565431662.

It is a happy number.

2661345652000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47496030 + ... + 47552029.

It is an arithmetic number, because the mean of its divisors is an integer number (77844361140).

Almost surely, 2^{2661345652000} is an apocalyptic number.

2661345652000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2661345652000 is an abundant number, since it is smaller than the sum of its proper divisors (4811713017440).

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

2661345652000 is an equidigital number, since it uses as much as digits as its factorization.

2661345652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95048091 (or 95048073 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 2661345652000 in words is "two trillion, six hundred sixty-one billion, three hundred forty-five million, six hundred fifty-two thousand".