2505045444 has 96 divisors (see below), whose sum is σ = 6491197440. Its totient is φ = 745555200.

The previous prime is 2505045407. The next prime is 2505045449. The reversal of 2505045444 is 4445405052.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2505045449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2429209 + ... + 2430239.

It is an arithmetic number, because the mean of its divisors is an integer number (67616640).

Almost surely, 2^2505045444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505045444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245598720).

2505045444 is an abundant number, since it is smaller than the sum of its proper divisors (3986151996).

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

2505045444 is a wasteful number, since it uses less digits than its factorization.

2505045444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 33.

The square root of 2505045444 is about 50050.4290091504. The cubic root of 2505045444 is about 1358.1212242385.

The spelling of 2505045444 in words is "two billion, five hundred five million, forty-five thousand, four hundred forty-four".