2953538945 has 48 divisors (see below), whose sum is σ = 4376546640. Its totient is φ = 1901297664.

The previous prime is 2953538921. The next prime is 2953538947. The reversal of 2953538945 is 5498353592.

It can be written as a sum of positive squares in 8 ways, for example, as 1411955776 + 1541583169 = 37576^2 + 39263^2 .

It is not a de Polignac number, because 2953538945 - 2¹⁶ = 2953473409 is a prime.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2953538947) 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 47 ways as a sum of consecutive naturals, for example, 2402591 + ... + 2403819.

It is an arithmetic number, because the mean of its divisors is an integer number (91178055).

Almost surely, 2^2953538945 is an apocalyptic number.

It is an amenable number.

2953538945 is a deficient number, since it is larger than the sum of its proper divisors (1423007695).

2953538945 is a wasteful number, since it uses less digits than its factorization.

2953538945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1835 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 53.

The square root of 2953538945 is about 54346.4713205927. The cubic root of 2953538945 is about 1434.7654187240.

The spelling of 2953538945 in words is "two billion, nine hundred fifty-three million, five hundred thirty-eight thousand, nine hundred forty-five".