2084558440 has 24 divisors (see below), whose sum is σ = 4690906290. Its totient is φ = 833707872.

The previous prime is 2084558417. The next prime is 2084558461. The reversal of 2084558440 is 448554802.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1876102596 + 208455844 = 43314^2 + 14438^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2084558393 and 2084558402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 285151 + ... + 292369.

Almost surely, 2^2084558440 is an apocalyptic number.

2084558440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2084558440 is an abundant number, since it is smaller than the sum of its proper divisors (2606347850).

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

2084558440 is an frugal number, since it uses more digits than its factorization.

2084558440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14449 (or 7226 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 40.

The square root of 2084558440 is about 45656.9648575111. The cubic root of 2084558440 is about 1277.4326878110.

Multiplying 2084558440 by its sum of digits (40), we get a square (83382337600 = 288760²).

2084558440 divided by its sum of digits (40) gives a square (52113961 = 7219²).

The spelling of 2084558440 in words is "two billion, eighty-four million, five hundred fifty-eight thousand, four hundred forty".