2204949749760 has 672 divisors, whose sum is σ = 7913209187520. Its totient is φ = 567490904064.

The previous prime is 2204949749693. The next prime is 2204949749819. The reversal of 2204949749760 is 679479494022.

2204949749760 is a `hidden beast` number, since 2 + 2 + 0 + 49 + 49 + 7 + 497 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1895914939 + ... + 1895916101.

It is an arithmetic number, because the mean of its divisors is an integer number (11775608910).

Almost surely, 2^{2204949749760} is an apocalyptic number.

2204949749760 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 2204949749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956604593760).

2204949749760 is an abundant number, since it is smaller than the sum of its proper divisors (5708259437760).

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

2204949749760 is a wasteful number, since it uses less digits than its factorization.

2204949749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 2204949749760 in words is "two trillion, two hundred four billion, nine hundred forty-nine million, seven hundred forty-nine thousand, seven hundred sixty".