2652672540672 has 1440 divisors, whose sum is σ = 10511192240640. Its totient is φ = 647202078720.

The previous prime is 2652672540659. The next prime is 2652672540697. The reversal of 2652672540672 is 2760452762562.

2652672540672 is a `hidden beast` number, since 2 + 6 + 5 + 26 + 7 + 2 + 540 + 6 + 72 = 666.

It is a super-3 number, since 3×2652672540672³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5211537154 + ... + 5211537662.

It is an arithmetic number, because the mean of its divisors is an integer number (7299439056).

Almost surely, 2^{2652672540672} is an apocalyptic number.

2652672540672 is a gapful number since it is divisible by the number (22) 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 2652672540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255596120320).

2652672540672 is an abundant number, since it is smaller than the sum of its proper divisors (7858519699968).

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

2652672540672 is an equidigital number, since it uses as much as digits as its factorization.

2652672540672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 2652672540672 in words is "two trillion, six hundred fifty-two billion, six hundred seventy-two million, five hundred forty thousand, six hundred seventy-two".