2050022020410 has 288 divisors, whose sum is σ = 6705915849360. Its totient is φ = 430672951296.

The previous prime is 2050022020379. The next prime is 2050022020411. The reversal of 2050022020410 is 140202200502.

2050022020410 is a `hidden beast` number, since 2 + 0 + 50 + 0 + 2 + 202 + 0 + 410 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 767255116761 + 1282766903649 = 875931^2 + 1132593^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2050022020411) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13281156 + ... + 13434624.

Almost surely, 2^{2050022020410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050022020410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352957924680).

2050022020410 is an abundant number, since it is smaller than the sum of its proper divisors (4655893828950).

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

2050022020410 is a wasteful number, since it uses less digits than its factorization.

2050022020410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153742 (or 153732 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 2050022020410 its reverse (140202200502), we get a palindrome (2190224220912).

The spelling of 2050022020410 in words is "two trillion, fifty billion, twenty-two million, twenty thousand, four hundred ten".