2505458442496 has 27 divisors (see below), whose sum is σ = 5001180491181. Its totient is φ = 1252716558336.

The previous prime is 2505458442437. The next prime is 2505458442499. The reversal of 2505458442496 is 6942448545052.

The square root of 2505458442496 is 1582864.

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., 336789872896 + 2168668569600 = 580336^2 + 1472640^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2505458442496.

It is not an unprimeable number, because it can be changed into a prime (2505458442499) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 25276360 + ... + 25375288.

Almost surely, 2^{2505458442496} is an apocalyptic number.

2505458442496 is the 1582864-th square number.

It is an amenable number.

2505458442496 is a deficient number, since it is larger than the sum of its proper divisors (2495722048685).

2505458442496 is an frugal number, since it uses more digits than its factorization.

2505458442496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197874 (or 98931 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 58.

The spelling of 2505458442496 in words is "two trillion, five hundred five billion, four hundred fifty-eight million, four hundred forty-two thousand, four hundred ninety-six".