1985610240 has 320 divisors, whose sum is σ = 7365600000. Its totient is φ = 506068992.

The previous prime is 1985610239. The next prime is 1985610247. The reversal of 1985610240 is 420165891.

1985610240 is a `hidden beast` number, since 1 + 98 + 561 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 1985610195 and 1985610204.

It is not an unprimeable number, because it can be changed into a prime (1985610247) 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, 1589136 + ... + 1590384.

It is an arithmetic number, because the mean of its divisors is an integer number (23017500).

Almost surely, 2^1985610240 is an apocalyptic number.

1985610240 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 1985610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682800000).

1985610240 is an abundant number, since it is smaller than the sum of its proper divisors (5379989760).

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

1985610240 is a wasteful number, since it uses less digits than its factorization.

1985610240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1985610240 is about 44560.1867141510. The cubic root of 1985610240 is about 1256.8921137064.

The spelling of 1985610240 in words is "one billion, nine hundred eighty-five million, six hundred ten thousand, two hundred forty".