2713161830400 has 1248 divisors, whose sum is σ = 11627550432000. Its totient is φ = 619934515200.

The previous prime is 2713161830399. The next prime is 2713161830429. The reversal of 2713161830400 is 40381613172.

It is a happy number.

2713161830400 is a `hidden beast` number, since 2 + 7 + 1 + 3 + 1 + 618 + 30 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×2713161830400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 948324970 + ... + 948327830.

Almost surely, 2^{2713161830400} is an apocalyptic number.

2713161830400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2713161830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5813775216000).

2713161830400 is an abundant number, since it is smaller than the sum of its proper divisors (8914388601600).

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

2713161830400 is an equidigital number, since it uses as much as digits as its factorization.

2713161830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2713161830400 in words is "two trillion, seven hundred thirteen billion, one hundred sixty-one million, eight hundred thirty thousand, four hundred".