2611516720120 has 128 divisors (see below), whose sum is σ = 7328118159360. Its totient is φ = 813723125760.

The previous prime is 2611516720103. The next prime is 2611516720121. The reversal of 2611516720120 is 210276151162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2611516720121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9776577 + ... + 10040143.

It is an arithmetic number, because the mean of its divisors is an integer number (57250923120).

Almost surely, 2^{2611516720120} is an apocalyptic number.

2611516720120 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 2611516720120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664059079680).

2611516720120 is an abundant number, since it is smaller than the sum of its proper divisors (4716601439240).

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

2611516720120 is a wasteful number, since it uses less digits than its factorization.

2611516720120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266813 (or 266809 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 2611516720120 in words is "two trillion, six hundred eleven billion, five hundred sixteen million, seven hundred twenty thousand, one hundred twenty".