2191717440 has 280 divisors, whose sum is σ = 8506187712. Its totient is φ = 531256320.

The previous prime is 2191717433. The next prime is 2191717499. The reversal of 2191717440 is 447171912.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2191717395 and 2191717404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281277 + ... + 288963.

Almost surely, 2^2191717440 is an apocalyptic number.

2191717440 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 2191717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253093856).

2191717440 is an abundant number, since it is smaller than the sum of its proper divisors (6314470272).

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

2191717440 is a wasteful number, since it uses less digits than its factorization.

2191717440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7727 (or 7708 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 2191717440 is about 46815.7819543794. The cubic root of 2191717440 is about 1298.9572387505.

The spelling of 2191717440 in words is "two billion, one hundred ninety-one million, seven hundred seventeen thousand, four hundred forty".