2083627840 has 56 divisors (see below), whose sum is σ = 5670450432. Its totient is φ = 714385920.

The previous prime is 2083627747. The next prime is 2083627883. The reversal of 2083627840 is 487263802.

It is a tau number, because it is divible by the number of its divisors (56).

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 = 2083627793 and 2083627802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462856 + ... + 467335.

Almost surely, 2^2083627840 is an apocalyptic number.

2083627840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2083627840 is an abundant number, since it is smaller than the sum of its proper divisors (3586822592).

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

2083627840 is an equidigital number, since it uses as much as digits as its factorization.

2083627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930215 (or 930205 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 2083627840 is about 45646.7725036502. The cubic root of 2083627840 is about 1277.2425666834.

The spelling of 2083627840 in words is "two billion, eighty-three million, six hundred twenty-seven thousand, eight hundred forty".