2049601680 has 480 divisors, whose sum is σ = 8379820800. Its totient is φ = 438939648.

The previous prime is 2049601657. The next prime is 2049601681. The reversal of 2049601680 is 861069402.

2049601680 is a `hidden beast` number, since 2 + 0 + 49 + 601 + 6 + 8 + 0 = 666.

It is a super-3 number, since 3×2049601680³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2049601681) 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 95 ways as a sum of consecutive naturals, for example, 5407731 + ... + 5408109.

It is an arithmetic number, because the mean of its divisors is an integer number (17457960).

Almost surely, 2^2049601680 is an apocalyptic number.

2049601680 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 2049601680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189910400).

2049601680 is an abundant number, since it is smaller than the sum of its proper divisors (6330219120).

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

2049601680 is a wasteful number, since it uses less digits than its factorization.

2049601680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2049601680 is about 45272.5267684498. The cubic root of 2049601680 is about 1270.2518111055.

It can be divided in two parts, 2049 and 601680, that added together give a square (603729 = 777²).

The spelling of 2049601680 in words is "two billion, forty-nine million, six hundred one thousand, six hundred eighty".