2045972448 has 72 divisors (see below), whose sum is σ = 6265802088. Its totient is φ = 629528832.

The previous prime is 2045972443. The next prime is 2045972449. The reversal of 2045972448 is 8442795402.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2045972448² = 8372006515950225408, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045972443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269490 + ... + 276977.

It is an arithmetic number, because the mean of its divisors is an integer number (87025029).

Almost surely, 2^2045972448 is an apocalyptic number.

It is an amenable number.

2045972448 is an abundant number, since it is smaller than the sum of its proper divisors (4219829640).

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

2045972448 is a wasteful number, since it uses less digits than its factorization.

2045972448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546496 (or 546485 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2045972448 is about 45232.4269523536. The cubic root of 2045972448 is about 1269.5016227078.

The spelling of 2045972448 in words is "two billion, forty-five million, nine hundred seventy-two thousand, four hundred forty-eight".