2116577760 has 384 divisors, whose sum is σ = 7864335360. Its totient is φ = 473088000.

The previous prime is 2116577693. The next prime is 2116577761. The reversal of 2116577760 is 677756112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116577761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3521460 + ... + 3522060.

It is an arithmetic number, because the mean of its divisors is an integer number (20480040).

Almost surely, 2^2116577760 is an apocalyptic number.

2116577760 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 2116577760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932167680).

2116577760 is an abundant number, since it is smaller than the sum of its proper divisors (5747757600).

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

2116577760 is a wasteful number, since it uses less digits than its factorization.

2116577760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The square root of 2116577760 is about 46006.2795713803. The cubic root of 2116577760 is about 1283.9400404838.

The spelling of 2116577760 in words is "two billion, one hundred sixteen million, five hundred seventy-seven thousand, seven hundred sixty".