1949664000 has 288 divisors, whose sum is σ = 6765018624. Its totient is φ = 496742400.

The previous prime is 1949663999. The next prime is 1949664001. The reversal of 1949664000 is 4669491.

It is an interprime number because it is at equal distance from previous prime (1949663999) and next prime (1949664001).

It is a self number, because there is not a number n which added to its sum of digits gives 1949664000.

It is not an unprimeable number, because it can be changed into a prime (1949664001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2207559 + ... + 2208441.

It is an arithmetic number, because the mean of its divisors is an integer number (23489648).

Almost surely, 2^1949664000 is an apocalyptic number.

1949664000 is a gapful number since it is divisible by the number (10) 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 1949664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382509312).

1949664000 is an abundant number, since it is smaller than the sum of its proper divisors (4815354624).

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

1949664000 is an equidigital number, since it uses as much as digits as its factorization.

1949664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 1949664000 is about 44154.9997169064. Note that the first 3 decimals coincide. The cubic root of 1949664000 is about 1249.2612167788.

The spelling of 1949664000 in words is "one billion, nine hundred forty-nine million, six hundred sixty-four thousand".