1950538016 has 48 divisors (see below), whose sum is σ = 4409616960. Its totient is φ = 831962880.

The previous prime is 1950537943. The next prime is 1950538039. The reversal of 1950538016 is 6108350591.

It is a super-3 number, since 3×1950538016³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26630 + ... + 67898.

It is an arithmetic number, because the mean of its divisors is an integer number (91867020).

Almost surely, 2^1950538016 is an apocalyptic number.

1950538016 is a gapful number since it is divisible by the number (16) 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 1950538016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204808480).

1950538016 is an abundant number, since it is smaller than the sum of its proper divisors (2459078944).

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

1950538016 is a wasteful number, since it uses less digits than its factorization.

1950538016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41497 (or 41489 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 1950538016 is about 44164.8957431125. The cubic root of 1950538016 is about 1249.4478662346.

The spelling of 1950538016 in words is "one billion, nine hundred fifty million, five hundred thirty-eight thousand, sixteen".