2661436910796 has 192 divisors, whose sum is σ = 6639404728320. Its totient is φ = 827401236480.

The previous prime is 2661436910779. The next prime is 2661436910809. The reversal of 2661436910796 is 6970196341662.

It is a happy number.

It is a super-2 number, since 2×2661436910796² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2840380440 + ... + 2840381376.

It is an arithmetic number, because the mean of its divisors is an integer number (34580232960).

Almost surely, 2^{2661436910796} 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 2661436910796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319702364160).

2661436910796 is an abundant number, since it is smaller than the sum of its proper divisors (3977967817524).

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

2661436910796 is a wasteful number, since it uses less digits than its factorization.

2661436910796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 2661436910796 in words is "two trillion, six hundred sixty-one billion, four hundred thirty-six million, nine hundred ten thousand, seven hundred ninety-six".