2050022352000 has 512 divisors, whose sum is σ = 7773101107200. Its totient is φ = 468187852800.

The previous prime is 2050022351899. The next prime is 2050022352041. The reversal of 2050022352000 is 2532200502.

It is a super-2 number, since 2×2050022352000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664942459 + ... + 664945541.

It is an arithmetic number, because the mean of its divisors is an integer number (15181838100).

Almost surely, 2^{2050022352000} is an apocalyptic number.

2050022352000 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 2050022352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886550553600).

2050022352000 is an abundant number, since it is smaller than the sum of its proper divisors (5723078755200).

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

2050022352000 is a wasteful number, since it uses less digits than its factorization.

2050022352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101 (or 5079 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

Adding to 2050022352000 its reverse (2532200502), we get a palindrome (2052554552502).

The spelling of 2050022352000 in words is "two trillion, fifty billion, twenty-two million, three hundred fifty-two thousand".