2688191220 has 192 divisors, whose sum is σ = 8916074496. Its totient is φ = 596574720.

The previous prime is 2688191213. The next prime is 2688191227. The reversal of 2688191220 is 221918862.

It is an interprime number because it is at equal distance from previous prime (2688191213) and next prime (2688191227).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688191227) 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, 1088427 + ... + 1090893.

It is an arithmetic number, because the mean of its divisors is an integer number (46437888).

Almost surely, 2^2688191220 is an apocalyptic number.

2688191220 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 2688191220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458037248).

2688191220 is an abundant number, since it is smaller than the sum of its proper divisors (6227883276).

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

2688191220 is a wasteful number, since it uses less digits than its factorization.

2688191220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 2688191220 is about 51847.7696723784. The cubic root of 2688191220 is about 1390.4436276993.

The spelling of 2688191220 in words is "two billion, six hundred eighty-eight million, one hundred ninety-one thousand, two hundred twenty".