2116886772 has 288 divisors, whose sum is σ = 6878615296. Its totient is φ = 492687360.

The previous prime is 2116886753. The next prime is 2116886803. The reversal of 2116886772 is 2776886112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4888668 + ... + 4889100.

Almost surely, 2^2116886772 is an apocalyptic number.

2116886772 is a gapful number since it is divisible by the number (22) 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 2116886772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439307648).

2116886772 is an abundant number, since it is smaller than the sum of its proper divisors (4761728524).

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

2116886772 is a wasteful number, since it uses less digits than its factorization.

2116886772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 506 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 2116886772 is about 46009.6378164402. The cubic root of 2116886772 is about 1284.0025208363.

It can be divided in two parts, 2116 and 886772, that added together give a palindrome (888888).

The spelling of 2116886772 in words is "two billion, one hundred sixteen million, eight hundred eighty-six thousand, seven hundred seventy-two".