2019964000 has 48 divisors (see below), whose sum is σ = 4963061376. Its totient is φ = 807984000.

The previous prime is 2019963997. The next prime is 2019964007. The reversal of 2019964000 is 4699102.

It is a happy number.

2019964000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2019964000² = 8160509122592000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2019964007) by changing a digit.

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, 248496 + ... + 256495.

It is an arithmetic number, because the mean of its divisors is an integer number (103397112).

Almost surely, 2^2019964000 is an apocalyptic number.

2019964000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2019964000 is an abundant number, since it is smaller than the sum of its proper divisors (2943097376).

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

2019964000 is an equidigital number, since it uses as much as digits as its factorization.

2019964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505016 (or 504998 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 2019964000 is about 44944.0096119605. The cubic root of 2019964000 is about 1264.0993552729.

The spelling of 2019964000 in words is "two billion, nineteen million, nine hundred sixty-four thousand".