1949800000 has 84 divisors (see below), whose sum is σ = 4836604500. Its totient is φ = 779840000.

The previous prime is 1949799979. The next prime is 1949800049. The reversal of 1949800000 is 89491.

It can be written as a sum of positive squares in 6 ways, for example, as 1846249024 + 103550976 = 42968^2 + 10176^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195126 + ... + 204874.

It is an arithmetic number, because the mean of its divisors is an integer number (57578625).

Almost surely, 2^1949800000 is an apocalyptic number.

1949800000 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 1949800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418302250).

1949800000 is an abundant number, since it is smaller than the sum of its proper divisors (2886804500).

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

1949800000 is an frugal number, since it uses more digits than its factorization.

1949800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9786 (or 9756 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1949800000 is about 44156.5397195025. The cubic root of 1949800000 is about 1249.2902637625.

Adding to 1949800000 its reverse (89491), we get a palindrome (1949889491).

The spelling of 1949800000 in words is "one billion, nine hundred forty-nine million, eight hundred thousand".