2952527397248 has 128 divisors (see below), whose sum is σ = 6919541475840. Its totient is φ = 1237167360000.

The previous prime is 2952527397187. The next prime is 2952527397293. The reversal of 2952527397248 is 8427937252592.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13638911 + ... + 13853697.

It is an arithmetic number, because the mean of its divisors is an integer number (54058917780).

Almost surely, 2^{2952527397248} 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 2952527397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459770737920).

2952527397248 is an abundant number, since it is smaller than the sum of its proper divisors (3967014078592).

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

2952527397248 is a wasteful number, since it uses less digits than its factorization.

2952527397248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215576 (or 215564 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 65.

The spelling of 2952527397248 in words is "two trillion, nine hundred fifty-two billion, five hundred twenty-seven million, three hundred ninety-seven thousand, two hundred forty-eight".