1950942800 has 120 divisors (see below), whose sum is σ = 5148807360. Its totient is φ = 707097600.

The previous prime is 1950942751. The next prime is 1950942859. The reversal of 1950942800 is 82490591.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 169220 + ... + 180380.

It is an arithmetic number, because the mean of its divisors is an integer number (42906728).

Almost surely, 2^1950942800 is an apocalyptic number.

1950942800 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 1950942800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574403680).

1950942800 is an abundant number, since it is smaller than the sum of its proper divisors (3197864560).

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

1950942800 is a wasteful number, since it uses less digits than its factorization.

1950942800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11221 (or 11210 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 1950942800 is about 44169.4781495095. The cubic root of 1950942800 is about 1249.5342905133.

The spelling of 1950942800 in words is "one billion, nine hundred fifty million, nine hundred forty-two thousand, eight hundred".