2049702144 has 288 divisors, whose sum is σ = 6593126400. Its totient is φ = 564480000.

The previous prime is 2049702143. The next prime is 2049702157. The reversal of 2049702144 is 4412079402.

It is not an unprimeable number, because it can be changed into a prime (2049702143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8166019 + ... + 8166269.

It is an arithmetic number, because the mean of its divisors is an integer number (22892800).

Almost surely, 2^2049702144 is an apocalyptic number.

2049702144 is a gapful number since it is divisible by the number (24) 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 2049702144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296563200).

2049702144 is an abundant number, since it is smaller than the sum of its proper divisors (4543424256).

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

2049702144 is an equidigital number, since it uses as much as digits as its factorization.

2049702144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2049702144 is about 45273.6363019363. The cubic root of 2049702144 is about 1270.2725651370.

The spelling of 2049702144 in words is "two billion, forty-nine million, seven hundred two thousand, one hundred forty-four".