2696166240992 has 192 divisors, whose sum is σ = 6802793786880. Its totient is φ = 1023965577216.

The previous prime is 2696166240883. The next prime is 2696166241031. The reversal of 2696166240992 is 2990426616962.

It is a super-2 number, since 2×2696166240992² (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 11679068 + ... + 11907684.

It is an arithmetic number, because the mean of its divisors is an integer number (35431217640).

Almost surely, 2^{2696166240992} 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 2696166240992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401396893440).

2696166240992 is an abundant number, since it is smaller than the sum of its proper divisors (4106627545888).

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

2696166240992 is a wasteful number, since it uses less digits than its factorization.

2696166240992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228833 (or 228825 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 62.

The spelling of 2696166240992 in words is "two trillion, six hundred ninety-six billion, one hundred sixty-six million, two hundred forty thousand, nine hundred ninety-two".