2952205641 has 72 divisors (see below), whose sum is σ = 5558419776. Its totient is φ = 1466752320.

The previous prime is 2952205639. The next prime is 2952205661. The reversal of 2952205641 is 1465022592.

2952205641 is a `hidden beast` number, since 2 + 9 + 5 + 2 + 2 + 0 + 5 + 641 = 666.

It is not a de Polignac number, because 2952205641 - 2¹ = 2952205639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2952205596 and 2952205605.

It is not an unprimeable number, because it can be changed into a prime (2952205621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 362571 + ... + 370623.

Almost surely, 2^2952205641 is an apocalyptic number.

2952205641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2952205641 is a deficient number, since it is larger than the sum of its proper divisors (2606214135).

2952205641 is a wasteful number, since it uses less digits than its factorization.

2952205641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8123 (or 8097 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2952205641 is about 54334.2032333226. The cubic root of 2952205641 is about 1434.5494894681.

The spelling of 2952205641 in words is "two billion, nine hundred fifty-two million, two hundred five thousand, six hundred forty-one".