2049102720 has 192 divisors, whose sum is σ = 8086796640. Its totient is φ = 468357120.

The previous prime is 2049102719. The next prime is 2049102721. The reversal of 2049102720 is 272019402.

It is an interprime number because it is at equal distance from previous prime (2049102719) and next prime (2049102721).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×2049102720³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049102721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14910 + ... + 65730.

Almost surely, 2^2049102720 is an apocalyptic number.

2049102720 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 2049102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043398320).

2049102720 is an abundant number, since it is smaller than the sum of its proper divisors (6037693920).

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

2049102720 is a wasteful number, since it uses less digits than its factorization.

2049102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50853 (or 50838 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2049102720 is about 45267.0158062137. The cubic root of 2049102720 is about 1270.1487250135.

The spelling of 2049102720 in words is "two billion, forty-nine million, one hundred two thousand, seven hundred twenty".