2661434661300 has 144 divisors (see below), whose sum is σ = 7722160958400. Its totient is φ = 707713459200.

The previous prime is 2661434661289. The next prime is 2661434661359. The reversal of 2661434661300 is 31664341662.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 535605216 + ... + 535610184.

Almost surely, 2^{2661434661300} is an apocalyptic number.

2661434661300 is a gapful number since it is divisible by the number (20) 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 2661434661300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861080479200).

2661434661300 is an abundant number, since it is smaller than the sum of its proper divisors (5060726297100).

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

2661434661300 is a wasteful number, since it uses less digits than its factorization.

2661434661300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9666 (or 9659 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 2661434661300 in words is "two trillion, six hundred sixty-one billion, four hundred thirty-four million, six hundred sixty-one thousand, three hundred".