2721330406332 has 108 divisors (see below), whose sum is σ = 7310050400016. Its totient is φ = 853436774400.

The previous prime is 2721330406279. The next prime is 2721330406351. The reversal of 2721330406332 is 2336040331272.

2721330406332 is a `hidden beast` number, since 2 + 7 + 2 + 13 + 3 + 0 + 4 + 0 + 633 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29094913 + ... + 29188295.

It is an arithmetic number, because the mean of its divisors is an integer number (67685651852).

Almost surely, 2^{2721330406332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2721330406332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655025200008).

2721330406332 is an abundant number, since it is smaller than the sum of its proper divisors (4588719993684).

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

2721330406332 is a wasteful number, since it uses less digits than its factorization.

2721330406332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96228 (or 96206 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 2721330406332 in words is "two trillion, seven hundred twenty-one billion, three hundred thirty million, four hundred six thousand, three hundred thirty-two".