2696621778480 has 480 divisors, whose sum is σ = 9776869240320. Its totient is φ = 613052375040.

The previous prime is 2696621778467. The next prime is 2696621778481. The reversal of 2696621778480 is 848771266962.

It is a happy number.

It is a super-2 number, since 2×2696621778480² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2696621778481) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3214089901 + ... + 3214090739.

It is an arithmetic number, because the mean of its divisors is an integer number (20368477584).

Almost surely, 2^{2696621778480} is an apocalyptic number.

2696621778480 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 2696621778480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4888434620160).

2696621778480 is an abundant number, since it is smaller than the sum of its proper divisors (7080247461840).

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

2696621778480 is a wasteful number, since it uses less digits than its factorization.

2696621778480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 2696621778480 in words is "two trillion, six hundred ninety-six billion, six hundred twenty-one million, seven hundred seventy-eight thousand, four hundred eighty".