649740240 has 120 divisors (see below), whose sum is σ = 2209858560. Its totient is φ = 171055872.

The previous prime is 649740233. The next prime is 649740251. The reversal of 649740240 is 42047946.

649740240 is a `hidden beast` number, since 649 + 7 + 4 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 649740195 and 649740204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51169 + ... + 62591.

It is an arithmetic number, because the mean of its divisors is an integer number (18415488).

Almost surely, 2^649740240 is an apocalyptic number.

649740240 is a gapful number since it is divisible by the number (60) 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 649740240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104929280).

649740240 is an abundant number, since it is smaller than the sum of its proper divisors (1560118320).

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

649740240 is a wasteful number, since it uses less digits than its factorization.

649740240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11521 (or 11512 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 649740240 is about 25490.0027461748. The cubic root of 649740240 is about 866.1236980328.

The spelling of 649740240 in words is "six hundred forty-nine million, seven hundred forty thousand, two hundred forty".