2651752788480 has 320 divisors, whose sum is σ = 9648994924800. Its totient is φ = 689886167040.

The previous prime is 2651752788473. The next prime is 2651752788481. The reversal of 2651752788480 is 848872571562.

2651752788480 is a `hidden beast` number, since 2 + 6 + 5 + 1 + 75 + 2 + 7 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2651752788480² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2651752788481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2366061 + ... + 3301779.

It is an arithmetic number, because the mean of its divisors is an integer number (30153109140).

Almost surely, 2^{2651752788480} is an apocalyptic number.

2651752788480 is a gapful number since it is divisible by the number (20) 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 2651752788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4824497462400).

2651752788480 is an abundant number, since it is smaller than the sum of its proper divisors (6997242136320).

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

2651752788480 is an equidigital number, since it uses as much as digits as its factorization.

2651752788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935792 (or 935770 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 2651752788480 in words is "two trillion, six hundred fifty-one billion, seven hundred fifty-two million, seven hundred eighty-eight thousand, four hundred eighty".