2172777984 has 480 divisors, whose sum is σ = 7507019520. Its totient is φ = 598523904.

The previous prime is 2172777947. The next prime is 2172778019. The reversal of 2172777984 is 4897772712.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2172777984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26178007 + ... + 26178089.

It is an arithmetic number, because the mean of its divisors is an integer number (15639624).

Almost surely, 2^2172777984 is an apocalyptic number.

2172777984 is a gapful number since it is divisible by the number (24) 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 2172777984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753509760).

2172777984 is an abundant number, since it is smaller than the sum of its proper divisors (5334241536).

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

2172777984 is a wasteful number, since it uses less digits than its factorization.

2172777984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its digits is 2765952, while the sum is 54.

The square root of 2172777984 is about 46613.0666659039. The cubic root of 2172777984 is about 1295.2048162702.

The spelling of 2172777984 in words is "two billion, one hundred seventy-two million, seven hundred seventy-seven thousand, nine hundred eighty-four".