2622961807752 has 384 divisors, whose sum is σ = 8042311670400. Its totient is φ = 707294945280.

The previous prime is 2622961807747. The next prime is 2622961807841. The reversal of 2622961807752 is 2577081692262.

It is a junction number, because it is equal to n+sod(n) for n = 2622961807692 and 2622961807701.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 905404768 + ... + 905407664.

It is an arithmetic number, because the mean of its divisors is an integer number (20943519975).

Almost surely, 2^{2622961807752} is an apocalyptic number.

2622961807752 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 2622961807752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021155835200).

2622961807752 is an abundant number, since it is smaller than the sum of its proper divisors (5419349862648).

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

2622961807752 is a wasteful number, since it uses less digits than its factorization.

2622961807752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 2622961807752 in words is "two trillion, six hundred twenty-two billion, nine hundred sixty-one million, eight hundred seven thousand, seven hundred fifty-two".