2622734315040 has 1152 divisors, whose sum is σ = 10782082160640. Its totient is φ = 521692545024.

The previous prime is 2622734315039. The next prime is 2622734315041. The reversal of 2622734315040 is 405134372262.

It is an interprime number because it is at equal distance from previous prime (2622734315039) and next prime (2622734315041).

It is a self number, because there is not a number n which added to its sum of digits gives 2622734315040.

It is not an unprimeable number, because it can be changed into a prime (2622734315041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2006682067 + ... + 2006683373.

It is an arithmetic number, because the mean of its divisors is an integer number (9359446320).

Almost surely, 2^{2622734315040} is an apocalyptic number.

2622734315040 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 2622734315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391041080320).

2622734315040 is an abundant number, since it is smaller than the sum of its proper divisors (8159347845600).

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

2622734315040 is a wasteful number, since it uses less digits than its factorization.

2622734315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 2622734315040 in words is "two trillion, six hundred twenty-two billion, seven hundred thirty-four million, three hundred fifteen thousand, forty".