1952001792 has 108 divisors (see below), whose sum is σ = 6061126344. Its totient is φ = 600606720.

The previous prime is 1952001739. The next prime is 1952001797. The reversal of 1952001792 is 2971002591.

It is a super-2 number, since 2×1952001792² = 7620621991942422528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1952001797) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2634 + ... + 62537.

Almost surely, 2^1952001792 is an apocalyptic number.

1952001792 is a gapful number since it is divisible by the number (12) 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 1952001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030563172).

1952001792 is an abundant number, since it is smaller than the sum of its proper divisors (4109124552).

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

1952001792 is a wasteful number, since it uses less digits than its factorization.

1952001792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65206 (or 65189 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1952001792 is about 44181.4643487515. The cubic root of 1952001792 is about 1249.7603363453.

The spelling of 1952001792 in words is "one billion, nine hundred fifty-two million, one thousand, seven hundred ninety-two".