2093229126450 has 432 divisors, whose sum is σ = 7051914702144. Its totient is φ = 432458438400.

The previous prime is 2093229126433. The next prime is 2093229126467. The reversal of 2093229126450 is 546219223902.

2093229126450 is a `hidden beast` number, since 2 + 0 + 93 + 2 + 2 + 91 + 26 + 450 = 666.

It is an interprime number because it is at equal distance from previous prime (2093229126433) and next prime (2093229126467).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2093229126396 and 2093229126405.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4482289117 + ... + 4482289583.

Almost surely, 2^{2093229126450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2093229126450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525957351072).

2093229126450 is an abundant number, since it is smaller than the sum of its proper divisors (4958685575694).

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

2093229126450 is a wasteful number, since it uses less digits than its factorization.

2093229126450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2093229126450 in words is "two trillion, ninety-three billion, two hundred twenty-nine million, one hundred twenty-six thousand, four hundred fifty".