2126417851950 has 192 divisors, whose sum is σ = 6361110243840. Its totient is φ = 459221322240.

The previous prime is 2126417851937. The next prime is 2126417851951. The reversal of 2126417851950 is 591587146212.

It is a junction number, because it is equal to n+sod(n) for n = 2126417851893 and 2126417851902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126417851951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7298472 + ... + 7584228.

It is an arithmetic number, because the mean of its divisors is an integer number (33130782520).

Almost surely, 2^{2126417851950} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126417851950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180555121920).

2126417851950 is an abundant number, since it is smaller than the sum of its proper divisors (4234692391890).

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

2126417851950 is a wasteful number, since it uses less digits than its factorization.

2126417851950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286171 (or 286166 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 2126417851950 in words is "two trillion, one hundred twenty-six billion, four hundred seventeen million, eight hundred fifty-one thousand, nine hundred fifty".