2952634752 has 192 divisors, whose sum is σ = 9058383360. Its totient is φ = 921000960.

The previous prime is 2952634697. The next prime is 2952634777. The reversal of 2952634752 is 2574362592.

2952634752 is a `hidden beast` number, since 2 + 9 + 5 + 2 + 634 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2952634698 and 2952634707.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1244127 + ... + 1246497.

It is an arithmetic number, because the mean of its divisors is an integer number (47179080).

Almost surely, 2^2952634752 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 2952634752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529191680).

2952634752 is an abundant number, since it is smaller than the sum of its proper divisors (6105748608).

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

2952634752 is a wasteful number, since it uses less digits than its factorization.

2952634752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2446 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 2952634752 is about 54338.1519008514. The cubic root of 2952634752 is about 1434.6189913048.

The spelling of 2952634752 in words is "two billion, nine hundred fifty-two million, six hundred thirty-four thousand, seven hundred fifty-two".