2661605412102 has 192 divisors, whose sum is σ = 7416481383360. Its totient is φ = 701309726208.

The previous prime is 2661605412091. The next prime is 2661605412113. The reversal of 2661605412102 is 2012145061662.

2661605412102 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 6 + 0 + 541 + 2 + 102 = 666.

It is an interprime number because it is at equal distance from previous prime (2661605412091) and next prime (2661605412113).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 37561618 + ... + 37632410.

It is an arithmetic number, because the mean of its divisors is an integer number (38627507205).

Almost surely, 2^{2661605412102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661605412102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708240691680).

2661605412102 is an abundant number, since it is smaller than the sum of its proper divisors (4754875971258).

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

2661605412102 is a wasteful number, since it uses less digits than its factorization.

2661605412102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71924 (or 71911 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2661605412102 in words is "two trillion, six hundred sixty-one billion, six hundred five million, four hundred twelve thousand, one hundred two".