2049434217120 has 192 divisors, whose sum is σ = 6539548055040. Its totient is φ = 539423539200.

The previous prime is 2049434217079. The next prime is 2049434217221. The reversal of 2049434217120 is 217124349402.

It is a super-2 number, since 2×2049434217120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152469600 + ... + 152483040.

It is an arithmetic number, because the mean of its divisors is an integer number (34060146120).

Almost surely, 2^{2049434217120} is an apocalyptic number.

2049434217120 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 2049434217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269774027520).

2049434217120 is an abundant number, since it is smaller than the sum of its proper divisors (4490113837920).

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

2049434217120 is a wasteful number, since it uses less digits than its factorization.

2049434217120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17559 (or 17551 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 2049434217120 in words is "two trillion, forty-nine billion, four hundred thirty-four million, two hundred seventeen thousand, one hundred twenty".