2952553506 has 96 divisors (see below), whose sum is σ = 7342581312. Its totient is φ = 786401280.

The previous prime is 2952553477. The next prime is 2952553561. The reversal of 2952553506 is 6053552592.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 532026 + ... + 537546.

It is an arithmetic number, because the mean of its divisors is an integer number (76485222).

Almost surely, 2^2952553506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2952553506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671290656).

2952553506 is an abundant number, since it is smaller than the sum of its proper divisors (4390027806).

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

2952553506 is a wasteful number, since it uses less digits than its factorization.

2952553506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5664 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 42.

The square root of 2952553506 is about 54337.4042994326. The cubic root of 2952553506 is about 1434.6058326478.

The spelling of 2952553506 in words is "two billion, nine hundred fifty-two million, five hundred fifty-three thousand, five hundred six".