2945232900 has 243 divisors, whose sum is σ = 9731459829. Its totient is φ = 773673120.

The previous prime is 2945232853. The next prime is 2945232907. The reversal of 2945232900 is 92325492.

The square root of 2945232900 is 54270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1060283844 + 1884949056 = 32562^2 + 43416^2 .

It is a tau number, because it is divible by the number of its divisors (243).

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 (2945232907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 43958667 + ... + 43958733.

Almost surely, 2^2945232900 is an apocalyptic number.

2945232900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2945232900 is the 54270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2945232900

2945232900 is an abundant number, since it is smaller than the sum of its proper divisors (6786226929).

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

2945232900 is an frugal number, since it uses more digits than its factorization.

2945232900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 2945232900 is about 1433.4191902179.

Multiplying 2945232900 by its sum of digits (36), we get a square (106028384400 = 325620²).

2945232900 divided by its sum of digits (36) gives a square (81812025 = 9045²).

The spelling of 2945232900 in words is "two billion, nine hundred forty-five million, two hundred thirty-two thousand, nine hundred".