2952712116 has 120 divisors (see below), whose sum is σ = 8210885760. Its totient is φ = 922053888.

The previous prime is 2952712093. The next prime is 2952712121. The reversal of 2952712116 is 6112172592.

2952712116 is a `hidden beast` number, since 2 + 9 + 527 + 12 + 116 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1315291 + ... + 1317533.

It is an arithmetic number, because the mean of its divisors is an integer number (68424048).

Almost surely, 2^2952712116 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 2952712116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105442880).

2952712116 is an abundant number, since it is smaller than the sum of its proper divisors (5258173644).

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

2952712116 is a wasteful number, since it uses less digits than its factorization.

2952712116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2504 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 2952712116 is about 54338.8637717058. The cubic root of 2952712116 is about 1434.6315210060.

The spelling of 2952712116 in words is "two billion, nine hundred fifty-two million, seven hundred twelve thousand, one hundred sixteen".