2010142440 has 128 divisors (see below), whose sum is σ = 6729148800. Its totient is φ = 533744640.

The previous prime is 2010142429. The next prime is 2010142447. The reversal of 2010142440 is 442410102.

2010142440 is a `hidden beast` number, since 201 + 0 + 1 + 424 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2010142447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 256419 + ... + 264141.

It is an arithmetic number, because the mean of its divisors is an integer number (52571475).

Almost surely, 2^2010142440 is an apocalyptic number.

2010142440 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 2010142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364574400).

2010142440 is an abundant number, since it is smaller than the sum of its proper divisors (4719006360).

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

2010142440 is a wasteful number, since it uses less digits than its factorization.

2010142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7984 (or 7974 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2010142440 is about 44834.6120759397. The cubic root of 2010142440 is about 1262.0472387534.

Adding to 2010142440 its reverse (442410102), we get a palindrome (2452552542).

The spelling of 2010142440 in words is "two billion, ten million, one hundred forty-two thousand, four hundred forty".