1649753280 has 672 divisors, whose sum is σ = 7037222400. Its totient is φ = 346374144.

The previous prime is 1649753213. The next prime is 1649753323. The reversal of 1649753280 is 823579461.

1649753280 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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).

1649753280 is strictly pandigital in base 10.

It is an unprimeable number.

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, 22599324 + ... + 22599396.

It is a 1-persistent number, because it is pandigital, but 2⋅1649753280 = 3299506560 is not.

Almost surely, 2^1649753280 is an apocalyptic number.

1649753280 is a gapful number since it is divisible by the number (10) 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 1649753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518611200).

1649753280 is an abundant number, since it is smaller than the sum of its proper divisors (5387469120).

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

1649753280 is a wasteful number, since it uses less digits than its factorization.

1649753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1649753280 is about 40617.1549963805. The cubic root of 1649753280 is about 1181.6068504460.

The spelling of 1649753280 in words is "one billion, six hundred forty-nine million, seven hundred fifty-three thousand, two hundred eighty".