2952507128200 has 384 divisors, whose sum is σ = 8163061816320. Its totient is φ = 972170035200.

The previous prime is 2952507128159. The next prime is 2952507128203. The reversal of 2952507128200 is 28217052592.

It is a super-2 number, since 2×2952507128200² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2952507128203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2701286854 + ... + 2701287946.

It is an arithmetic number, because the mean of its divisors is an integer number (21257973480).

Almost surely, 2^{2952507128200} is an apocalyptic number.

2952507128200 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 2952507128200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081530908160).

2952507128200 is an abundant number, since it is smaller than the sum of its proper divisors (5210554688120).

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

2952507128200 is a wasteful number, since it uses less digits than its factorization.

2952507128200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 2952507128200 in words is "two trillion, nine hundred fifty-two billion, five hundred seven million, one hundred twenty-eight thousand, two hundred".