2731490899956 has 864 divisors, whose sum is σ = 9357753000960. Its totient is φ = 689762304000.

The previous prime is 2731490899937. The next prime is 2731490899957. The reversal of 2731490899956 is 6599980941372.

2731490899956 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 490 + 89 + 9 + 9 + 56 = 666.

It is a super-2 number, since 2×2731490899956² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2731490899957) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1938601780 + ... + 1938603188.

It is an arithmetic number, because the mean of its divisors is an integer number (10830732640).

It is a 1-persistent number, because it is pandigital, but 2⋅2731490899956 = 5462981799912 is not.

Almost surely, 2^{2731490899956} is an apocalyptic number.

2731490899956 is a gapful number since it is divisible by the number (26) 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 2731490899956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678876500480).

2731490899956 is an abundant number, since it is smaller than the sum of its proper divisors (6626262101004).

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

2731490899956 is a wasteful number, since it uses less digits than its factorization.

2731490899956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 2731490899956 in words is "two trillion, seven hundred thirty-one billion, four hundred ninety million, eight hundred ninety-nine thousand, nine hundred fifty-six".