2813463693360 has 120 divisors (see below), whose sum is σ = 9703915182000. Its totient is φ = 729979762176.

The previous prime is 2813463693319. The next prime is 2813463693371. The reversal of 2813463693360 is 633963643182.

It is a happy number.

2813463693360 is a `hidden beast` number, since 2 + 8 + 134 + 63 + 6 + 93 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 2813463693297 and 2813463693306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52778610 + ... + 52831889.

It is an arithmetic number, because the mean of its divisors is an integer number (80865959850).

Almost surely, 2^{2813463693360} is an apocalyptic number.

2813463693360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2813463693360 is an abundant number, since it is smaller than the sum of its proper divisors (6890451488640).

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

2813463693360 is a wasteful number, since it uses less digits than its factorization.

2813463693360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105610555 (or 105610546 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 2813463693360 in words is "two trillion, eight hundred thirteen billion, four hundred sixty-three million, six hundred ninety-three thousand, three hundred sixty".