2652708327984 has 640 divisors, whose sum is σ = 9650532326400. Its totient is φ = 685177159680.

The previous prime is 2652708327943. The next prime is 2652708327989. The reversal of 2652708327984 is 4897238072562.

2652708327984 is a `hidden beast` number, since 2 + 6 + 527 + 0 + 8 + 3 + 27 + 9 + 84 = 666.

It is a super-2 number, since 2×2652708327984² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2652708327989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55636347 + ... + 55684005.

It is an arithmetic number, because the mean of its divisors is an integer number (15078956760).

Almost surely, 2^{2652708327984} is an apocalyptic number.

2652708327984 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 2652708327984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825266163200).

2652708327984 is an abundant number, since it is smaller than the sum of its proper divisors (6997823998416).

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

2652708327984 is a wasteful number, since it uses less digits than its factorization.

2652708327984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47770 (or 47758 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 2652708327984 in words is "two trillion, six hundred fifty-two billion, seven hundred eight million, three hundred twenty-seven thousand, nine hundred eighty-four".