2089216440 has 96 divisors (see below), whose sum is σ = 7147342800. Its totient is φ = 527800320.

The previous prime is 2089216439. The next prime is 2089216453. The reversal of 2089216440 is 446129802.

2089216440 is a `hidden beast` number, since 2 + 0 + 8 + 9 + 2 + 1 + 644 + 0 = 666.

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 = 2089216395 and 2089216404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145881 + ... + 159560.

Almost surely, 2^2089216440 is an apocalyptic number.

2089216440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2089216440 is an abundant number, since it is smaller than the sum of its proper divisors (5058126360).

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

2089216440 is a wasteful number, since it uses less digits than its factorization.

2089216440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305477 (or 305470 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2089216440 is about 45707.9472302137. The cubic root of 2089216440 is about 1278.3834654945.

The spelling of 2089216440 in words is "two billion, eighty-nine million, two hundred sixteen thousand, four hundred forty".