2731661412480 has 4608 divisors, whose sum is σ = 14334318835200. Its totient is φ = 460770508800.

The previous prime is 2731661412443. The next prime is 2731661412481. The reversal of 2731661412480 is 842141661372.

2731661412480 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 6 + 614 + 1 + 24 + 8 + 0 = 666.

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 (2731661412481) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 88118110065 + ... + 88118110095.

It is an arithmetic number, because the mean of its divisors is an integer number (3110746275).

Almost surely, 2^{2731661412480} is an apocalyptic number.

2731661412480 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 2731661412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7167159417600).

2731661412480 is an abundant number, since it is smaller than the sum of its proper divisors (11602657422720).

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

2731661412480 is a wasteful number, since it uses less digits than its factorization.

2731661412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2731661412480 in words is "two trillion, seven hundred thirty-one billion, six hundred sixty-one million, four hundred twelve thousand, four hundred eighty".