1940049000 has 192 divisors, whose sum is σ = 6603938640. Its totient is φ = 513676800.

The previous prime is 1940048977. The next prime is 1940049031. The reversal of 1940049000 is 9400491.

It can be written as a sum of positive squares in 8 ways, for example, as 310957956 + 1629091044 = 17634^2 + 40362^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1412314 + ... + 1413686.

Almost surely, 2^1940049000 is an apocalyptic number.

1940049000 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 1940049000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301969320).

1940049000 is an abundant number, since it is smaller than the sum of its proper divisors (4663889640).

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

1940049000 is a wasteful number, since it uses less digits than its factorization.

1940049000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1940049000 is about 44045.9873314244. The cubic root of 1940049000 is about 1247.2042048188.

Adding to 1940049000 its reverse (9400491), we get a palindrome (1949449491).

The spelling of 1940049000 in words is "one billion, nine hundred forty million, forty-nine thousand".