2049485760 has 672 divisors, whose sum is σ = 8672901120. Its totient is φ = 454035456.

The previous prime is 2049485729. The next prime is 2049485761. The reversal of 2049485760 is 675849402.

It is a happy number.

2049485760 is a `hidden beast` number, since 20 + 494 + 85 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049485761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19897869 + ... + 19897971.

Almost surely, 2^2049485760 is an apocalyptic number.

2049485760 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 2049485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336450560).

2049485760 is an abundant number, since it is smaller than the sum of its proper divisors (6623415360).

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

2049485760 is a wasteful number, since it uses less digits than its factorization.

2049485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2049485760 is about 45271.2465037136. The cubic root of 2049485760 is about 1270.2278633035.

The spelling of 2049485760 in words is "two billion, forty-nine million, four hundred eighty-five thousand, seven hundred sixty".