2465201449216 has 135 divisors (see below), whose sum is σ = 5419499396115. Its totient is φ = 1119164428800.

The previous prime is 2465201449211. The next prime is 2465201449231. The reversal of 2465201449216 is 6129441025642.

The square root of 2465201449216 is 1570096.

It is a perfect power (a square), and thus also a powerful number.

2465201449216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2465201449211) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3039705451 + ... + 3039706261.

Almost surely, 2^{2465201449216} is an apocalyptic number.

2465201449216 is the 1570096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2465201449216

2465201449216 is an abundant number, since it is smaller than the sum of its proper divisors (2954297946899).

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

2465201449216 is an frugal number, since it uses more digits than its factorization.

2465201449216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 2465201449216 in words is "two trillion, four hundred sixty-five billion, two hundred one million, four hundred forty-nine thousand, two hundred sixteen".