1952273664 has 288 divisors, whose sum is σ = 6395921280. Its totient is φ = 589731840.

The previous prime is 1952273647. The next prime is 1952273683. The reversal of 1952273664 is 4663722591.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1952273664² = 7622744918295969792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6158434 + ... + 6158750.

It is an arithmetic number, because the mean of its divisors is an integer number (22208060).

Almost surely, 2^1952273664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1952273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197960640).

1952273664 is an abundant number, since it is smaller than the sum of its proper divisors (4443647616).

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

1952273664 is an frugal number, since it uses more digits than its factorization.

1952273664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 333 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 1952273664 is about 44184.5410070083. The cubic root of 1952273664 is about 1249.8183552588.

It can be divided in two parts, 195227 and 3664, that added together give a palindrome (198891).

The spelling of 1952273664 in words is "one billion, nine hundred fifty-two million, two hundred seventy-three thousand, six hundred sixty-four".