2122633413440 has 112 divisors (see below), whose sum is σ = 5306643151488. Its totient is φ = 807155103744.

The previous prime is 2122633413427. The next prime is 2122633413583. The reversal of 2122633413440 is 443143362212.

It is a self number, because there is not a number n which added to its sum of digits gives 2122633413440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315014 + ... + 2084346.

It is an arithmetic number, because the mean of its divisors is an integer number (47380742424).

Almost surely, 2^{2122633413440} is an apocalyptic number.

2122633413440 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 2122633413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653321575744).

2122633413440 is an abundant number, since it is smaller than the sum of its proper divisors (3184009738048).

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

2122633413440 is a wasteful number, since it uses less digits than its factorization.

2122633413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769536 (or 1769526 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 2122633413440 its reverse (443143362212), we get a palindrome (2565776775652).

The spelling of 2122633413440 in words is "two trillion, one hundred twenty-two billion, six hundred thirty-three million, four hundred thirteen thousand, four hundred forty".