2952009900 has 432 divisors, whose sum is σ = 11274590880. Its totient is φ = 660441600.

The previous prime is 2952009857. The next prime is 2952009901. The reversal of 2952009900 is 99002592.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2952009901) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 7011690 + ... + 7012110.

It is an arithmetic number, because the mean of its divisors is an integer number (26098590).

Almost surely, 2^2952009900 is an apocalyptic number.

2952009900 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 2952009900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637295440).

2952009900 is an abundant number, since it is smaller than the sum of its proper divisors (8322580980).

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

2952009900 is a wasteful number, since it uses less digits than its factorization.

2952009900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 2952009900 is about 54332.4019347571. The cubic root of 2952009900 is about 1434.5177836418.

The spelling of 2952009900 in words is "two billion, nine hundred fifty-two million, nine thousand, nine hundred".