2022634506240 has 768 divisors, whose sum is σ = 7359630969600. Its totient is φ = 526778892288.

The previous prime is 2022634506203. The next prime is 2022634506241. The reversal of 2022634506240 is 426054362202.

2022634506240 is a `hidden beast` number, since 2 + 0 + 2 + 26 + 3 + 4 + 5 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2022634506195 and 2022634506204.

It is not an unprimeable number, because it can be changed into a prime (2022634506241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2537809522 + ... + 2537810318.

It is an arithmetic number, because the mean of its divisors is an integer number (9582852825).

Almost surely, 2^{2022634506240} is an apocalyptic number.

2022634506240 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 2022634506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679815484800).

2022634506240 is an abundant number, since it is smaller than the sum of its proper divisors (5336996463360).

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

2022634506240 is a wasteful number, since it uses less digits than its factorization.

2022634506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 2022634506240 its reverse (426054362202), we get a palindrome (2448688868442).

The spelling of 2022634506240 in words is "two trillion, twenty-two billion, six hundred thirty-four million, five hundred six thousand, two hundred forty".