2952985952 has 96 divisors (see below), whose sum is σ = 7120576512. Its totient is φ = 1176643584.

The previous prime is 2952985943. The next prime is 2952985961. The reversal of 2952985952 is 2595892592.

It is an interprime number because it is at equal distance from previous prime (2952985943) and next prime (2952985961).

It is a Harshad number since it is a multiple of its sum of digits (56).

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 15 ways as a sum of consecutive naturals, for example, 311393 + ... + 320735.

It is an arithmetic number, because the mean of its divisors is an integer number (74172672).

Almost surely, 2^2952985952 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 2952985952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560288256).

2952985952 is an abundant number, since it is smaller than the sum of its proper divisors (4167590560).

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

2952985952 is a wasteful number, since it uses less digits than its factorization.

2952985952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9460 (or 9452 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 56.

The square root of 2952985952 is about 54341.3834200051. The cubic root of 2952985952 is about 1434.6758691170.

The spelling of 2952985952 in words is "two billion, nine hundred fifty-two million, nine hundred eighty-five thousand, nine hundred fifty-two".