1985368140 has 288 divisors, whose sum is σ = 7313080320. Its totient is φ = 425875968.

The previous prime is 1985368109. The next prime is 1985368213. The reversal of 1985368140 is 418635891.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3040054 + ... + 3040706.

It is an arithmetic number, because the mean of its divisors is an integer number (25392640).

Almost surely, 2^1985368140 is an apocalyptic number.

1985368140 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 1985368140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656540160).

1985368140 is an abundant number, since it is smaller than the sum of its proper divisors (5327712180).

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

1985368140 is a wasteful number, since it uses less digits than its factorization.

1985368140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1985368140 is about 44557.4700807844. The cubic root of 1985368140 is about 1256.8410284963.

The spelling of 1985368140 in words is "one billion, nine hundred eighty-five million, three hundred sixty-eight thousand, one hundred forty".