2952442592 has 72 divisors (see below), whose sum is σ = 6510080808. Its totient is φ = 1316606720.

The previous prime is 2952442543. The next prime is 2952442621.

2952442592 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198023 + ... + 212409.

It is an arithmetic number, because the mean of its divisors is an integer number (90417789).

Almost surely, 2^2952442592 is an apocalyptic number.

2952442592 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 2952442592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255040404).

2952442592 is an abundant number, since it is smaller than the sum of its proper divisors (3557638216).

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

2952442592 is a wasteful number, since it uses less digits than its factorization.

2952442592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14472 (or 14453 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The square root of 2952442592 is about 54336.3836853356. The cubic root of 2952442592 is about 1434.5878685518.

It can be divided in two parts, 2952 and 442592, that added together give a palindrome (445544).

The spelling of 2952442592 in words is "two billion, nine hundred fifty-two million, four hundred forty-two thousand, five hundred ninety-two".