1950349506 has 128 divisors (see below), whose sum is σ = 4838400000. Its totient is φ = 511743744.

The previous prime is 1950349493. The next prime is 1950349517. The reversal of 1950349506 is 6059430591.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5588220 + ... + 5588568.

It is an arithmetic number, because the mean of its divisors is an integer number (37800000).

Almost surely, 2^1950349506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1950349506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419200000).

1950349506 is an abundant number, since it is smaller than the sum of its proper divisors (2888050494).

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

1950349506 is a wasteful number, since it uses less digits than its factorization.

1950349506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576.

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 1950349506 is about 44162.7615305021. The cubic root of 1950349506 is about 1249.4076139207.

The spelling of 1950349506 in words is "one billion, nine hundred fifty million, three hundred forty-nine thousand, five hundred six".