2730531631104 has 624 divisors, whose sum is σ = 8829393434400. Its totient is φ = 833124040704.

The previous prime is 2730531631073. The next prime is 2730531631117. The reversal of 2730531631104 is 4011361350372.

2730531631104 is a `hidden beast` number, since 2 + 7 + 3 + 0 + 5 + 3 + 1 + 631 + 10 + 4 = 666.

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, 1182559102 + ... + 1182561410.

Almost surely, 2^{2730531631104} is an apocalyptic number.

2730531631104 is a gapful number since it is divisible by the number (24) 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 2730531631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414696717200).

2730531631104 is an abundant number, since it is smaller than the sum of its proper divisors (6098861803296).

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

2730531631104 is a wasteful number, since it uses less digits than its factorization.

2730531631104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 2730531631104 its reverse (4011361350372), we get a palindrome (6741892981476).

The spelling of 2730531631104 in words is "two trillion, seven hundred thirty billion, five hundred thirty-one million, six hundred thirty-one thousand, one hundred four".