2713456006380 has 144 divisors (see below), whose sum is σ = 9901734286080. Its totient is φ = 587575430784.

The previous prime is 2713456006379. The next prime is 2713456006381. The reversal of 2713456006380 is 836006543172.

2713456006380 is a `hidden beast` number, since 2 + 7 + 1 + 3 + 4 + 5 + 6 + 0 + 0 + 638 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2713456006379) and next prime (2713456006381).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2713456006381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56648074 + ... + 56695953.

Almost surely, 2^{2713456006380} is an apocalyptic number.

2713456006380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2713456006380 is an abundant number, since it is smaller than the sum of its proper divisors (7188278279700).

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

2713456006380 is a wasteful number, since it uses less digits than its factorization.

2713456006380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113344068 (or 113344063 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2713456006380 in words is "two trillion, seven hundred thirteen billion, four hundred fifty-six million, six thousand, three hundred eighty".