2813480293632 has 144 divisors (see below), whose sum is σ = 7729390513152. Its totient is φ = 907846410240.

The previous prime is 2813480293609. The next prime is 2813480293643. The reversal of 2813480293632 is 2363920843182.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5346657 + ... + 5849247.

It is an arithmetic number, because the mean of its divisors is an integer number (53676323008).

Almost surely, 2^{2813480293632} 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 2813480293632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864695256576).

2813480293632 is an abundant number, since it is smaller than the sum of its proper divisors (4915910219520).

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

2813480293632 is a wasteful number, since it uses less digits than its factorization.

2813480293632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502844 (or 502830 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 2813480293632 in words is "two trillion, eight hundred thirteen billion, four hundred eighty million, two hundred ninety-three thousand, six hundred thirty-two".