2952607152 has 270 divisors, whose sum is σ = 9056235468. Its totient is φ = 828220800.

The previous prime is 2952607139. The next prime is 2952607159. The reversal of 2952607152 is 2517062592.

It is a super-2 number, since 2×2952607152² = 17435777988083102208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2952607152.

It is not an unprimeable number, because it can be changed into a prime (2952607159) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 95245377 + ... + 95245407.

Almost surely, 2^2952607152 is an apocalyptic number.

2952607152 is a gapful number since it is divisible by the number (22) 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 2952607152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528117734).

2952607152 is an abundant number, since it is smaller than the sum of its proper divisors (6103628316).

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

2952607152 is a wasteful number, since it uses less digits than its factorization.

2952607152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 2952607152 is about 54337.8979350508. The cubic root of 2952607152 is about 1434.6145212172.

The spelling of 2952607152 in words is "two billion, nine hundred fifty-two million, six hundred seven thousand, one hundred fifty-two".