2011749049984 has 32 divisors (see below), whose sum is σ = 4145980673700. Its totient is φ = 971189194752.

The previous prime is 2011749049979. The next prime is 2011749050009. The reversal of 2011749049984 is 4899409471102.

It can be written as a sum of positive squares in 2 ways, for example, as 1967511182400 + 44237867584 = 1402680^2 + 210328^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2011749049984² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 270975417 + ... + 270982840.

Almost surely, 2^{2011749049984} is an apocalyptic number.

It is an amenable number.

2011749049984 is an abundant number, since it is smaller than the sum of its proper divisors (2134231623716).

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

2011749049984 is an equidigital number, since it uses as much as digits as its factorization.

2011749049984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541958300 (or 541958288 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 58.

The spelling of 2011749049984 in words is "two trillion, eleven billion, seven hundred forty-nine million, forty-nine thousand, nine hundred eighty-four".