1952126190 has 256 divisors, whose sum is σ = 6158592000. Its totient is φ = 439786368.

The previous prime is 1952126161. The next prime is 1952126191. The reversal of 1952126190 is 916212591.

1952126190 is a `hidden beast` number, since 19 + 5 + 21 + 2 + 619 + 0 = 666.

It is a super-2 number, since 2×1952126190² = 7621593323367832200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1952126191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9909172 + ... + 9909368.

It is an arithmetic number, because the mean of its divisors is an integer number (24057000).

Almost surely, 2^1952126190 is an apocalyptic number.

1952126190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1952126190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079296000).

1952126190 is an abundant number, since it is smaller than the sum of its proper divisors (4206465810).

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

1952126190 is a wasteful number, since it uses less digits than its factorization.

1952126190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1952126190 is about 44182.8721338937. The cubic root of 1952126190 is about 1249.7868842007.

The spelling of 1952126190 in words is "one billion, nine hundred fifty-two million, one hundred twenty-six thousand, one hundred ninety".