2611128890656 has 384 divisors, whose sum is σ = 6561995328000. Its totient is φ = 1005179535360.

The previous prime is 2611128890651. The next prime is 2611128890719. The reversal of 2611128890656 is 6560988211162.

It is a super-2 number, since 2×2611128890656² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2611128890597 and 2611128890606.

It is not an unprimeable number, because it can be changed into a prime (2611128890651) 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 63 ways as a sum of consecutive naturals, for example, 479191420 + ... + 479196868.

It is an arithmetic number, because the mean of its divisors is an integer number (17088529500).

Almost surely, 2^{2611128890656} is an apocalyptic number.

2611128890656 is a gapful number since it is divisible by the number (26) 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 2611128890656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280997664000).

2611128890656 is an abundant number, since it is smaller than the sum of its proper divisors (3950866437344).

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

2611128890656 is a wasteful number, since it uses less digits than its factorization.

2611128890656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692 (or 5684 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 55.

The spelling of 2611128890656 in words is "two trillion, six hundred eleven billion, one hundred twenty-eight million, eight hundred ninety thousand, six hundred fifty-six".