2713223400480 has 288 divisors, whose sum is σ = 9411441399360. Its totient is φ = 711680440320.

The previous prime is 2713223400467. The next prime is 2713223400499. The reversal of 2713223400480 is 840043223172.

It is a happy number.

2713223400480 is a `hidden beast` number, since 2 + 7 + 132 + 2 + 3 + 40 + 0 + 480 = 666.

2713223400480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 27320515 + ... + 27419645.

It is an arithmetic number, because the mean of its divisors is an integer number (32678615970).

Almost surely, 2^{2713223400480} is an apocalyptic number.

2713223400480 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 2713223400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705720699680).

2713223400480 is an abundant number, since it is smaller than the sum of its proper divisors (6698217998880).

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

2713223400480 is a wasteful number, since it uses less digits than its factorization.

2713223400480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99464 (or 99453 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 2713223400480 in words is "two trillion, seven hundred thirteen billion, two hundred twenty-three million, four hundred thousand, four hundred eighty".