2952208000 has 256 divisors, whose sum is σ = 8597571840. Its totient is φ = 987033600.

The previous prime is 2952207953. The next prime is 2952208031. The reversal of 2952208000 is 8022592.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2952208000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4815694 + ... + 4816306.

It is an arithmetic number, because the mean of its divisors is an integer number (33584265).

Almost surely, 2^2952208000 is an apocalyptic number.

2952208000 is a gapful number since it is divisible by the number (20) 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 2952208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298785920).

2952208000 is an abundant number, since it is smaller than the sum of its proper divisors (5645363840).

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

2952208000 is an equidigital number, since it uses as much as digits as its factorization.

2952208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2952208000 is about 54334.2249415596. The cubic root of 2952208000 is about 1434.5498715667.

The spelling of 2952208000 in words is "two billion, nine hundred fifty-two million, two hundred eight thousand".