2696968810080 has 288 divisors, whose sum is σ = 9299925835200. Its totient is φ = 711666487296.

The previous prime is 2696968810073. The next prime is 2696968810087. The reversal of 2696968810080 is 800188696962.

It is an interprime number because it is at equal distance from previous prime (2696968810073) and next prime (2696968810087).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2696968810080² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2696968810087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125086341 + ... + 125107899.

It is an arithmetic number, because the mean of its divisors is an integer number (32291409150).

Almost surely, 2^{2696968810080} is an apocalyptic number.

2696968810080 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 2696968810080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649962917600).

2696968810080 is an abundant number, since it is smaller than the sum of its proper divisors (6602957025120).

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

2696968810080 is a wasteful number, since it uses less digits than its factorization.

2696968810080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22486 (or 22475 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 2696968810080 in words is "two trillion, six hundred ninety-six billion, nine hundred sixty-eight million, eight hundred ten thousand, eighty".