1952904672 has 72 divisors (see below), whose sum is σ = 5578012440. Its totient is φ = 648103680.

The previous prime is 1952904649. The next prime is 1952904673. The reversal of 1952904672 is 2764092591.

1952904672 is a `hidden beast` number, since 19 + 529 + 0 + 46 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1952904673) 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 11 ways as a sum of consecutive naturals, for example, 51147 + ... + 80757.

It is an arithmetic number, because the mean of its divisors is an integer number (77472395).

Almost surely, 2^1952904672 is an apocalyptic number.

1952904672 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 1952904672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789006220).

1952904672 is an abundant number, since it is smaller than the sum of its proper divisors (3625107768).

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

1952904672 is a wasteful number, since it uses less digits than its factorization.

1952904672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29856 (or 29845 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1952904672 is about 44191.6810270893. The cubic root of 1952904672 is about 1249.9529949258.

The spelling of 1952904672 in words is "one billion, nine hundred fifty-two million, nine hundred four thousand, six hundred seventy-two".