1961366240 has 48 divisors (see below), whose sum is σ = 4636935072. Its totient is φ = 784003584.

The previous prime is 1961366237. The next prime is 1961366261. The reversal of 1961366240 is 426631691.

It is a junction number, because it is equal to n+sod(n) for n = 1961366194 and 1961366203.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 292202 + ... + 298838.

It is an arithmetic number, because the mean of its divisors is an integer number (96602814).

Almost surely, 2^1961366240 is an apocalyptic number.

1961366240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1961366240 is an abundant number, since it is smaller than the sum of its proper divisors (2675568832).

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

1961366240 is a wasteful number, since it uses less digits than its factorization.

1961366240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8499 (or 8491 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 1961366240 is about 44287.3146623274. The cubic root of 1961366240 is about 1251.7556641602.

The spelling of 1961366240 in words is "one billion, nine hundred sixty-one million, three hundred sixty-six thousand, two hundred forty".