2713001587440 has 160 divisors (see below), whose sum is σ = 8713885132800. Its totient is φ = 697526215680.

The previous prime is 2713001587369. The next prime is 2713001587447. The reversal of 2713001587440 is 447851003172.

It is a super-2 number, since 2×2713001587440² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2713001587392 and 2713001587401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2713001587447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1323571 + ... + 2679149.

It is an arithmetic number, because the mean of its divisors is an integer number (54461782080).

Almost surely, 2^{2713001587440} is an apocalyptic number.

2713001587440 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 2713001587440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356942566400).

2713001587440 is an abundant number, since it is smaller than the sum of its proper divisors (6000883545360).

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

2713001587440 is a wasteful number, since it uses less digits than its factorization.

2713001587440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355895 (or 1355889 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 2713001587440 in words is "two trillion, seven hundred thirteen billion, one million, five hundred eighty-seven thousand, four hundred forty".