2010385440 has 384 divisors, whose sum is σ = 8467200000. Its totient is φ = 435207168.

The previous prime is 2010385409. The next prime is 2010385463. The reversal of 2010385440 is 445830102.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 572811 + ... + 576309.

It is an arithmetic number, because the mean of its divisors is an integer number (22050000).

Almost surely, 2^2010385440 is an apocalyptic number.

2010385440 is a gapful number since it is divisible by the number (20) 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 2010385440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600000).

2010385440 is an abundant number, since it is smaller than the sum of its proper divisors (6456814560).

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

2010385440 is a wasteful number, since it uses less digits than its factorization.

2010385440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2010385440 is about 44837.3219539258. The cubic root of 2010385440 is about 1262.0980917205.

The spelling of 2010385440 in words is "two billion, ten million, three hundred eighty-five thousand, four hundred forty".