2049858720 has 288 divisors, whose sum is σ = 8609956992. Its totient is φ = 432470016.

The previous prime is 2049858703. The next prime is 2049858737. The reversal of 2049858720 is 278589402.

2049858720 is a `hidden beast` number, since 2 + 0 + 49 + 8 + 587 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2049858703) and next prime (2049858737).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 123219 + ... + 138861.

It is an arithmetic number, because the mean of its divisors is an integer number (29895684).

Almost surely, 2^2049858720 is an apocalyptic number.

2049858720 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 2049858720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304978496).

2049858720 is an abundant number, since it is smaller than the sum of its proper divisors (6560098272).

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

2049858720 is a wasteful number, since it uses less digits than its factorization.

2049858720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15684 (or 15673 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2049858720 is about 45275.3654872051. The cubic root of 2049858720 is about 1270.3049095329.

The spelling of 2049858720 in words is "two billion, forty-nine million, eight hundred fifty-eight thousand, seven hundred twenty".