2012141040 has 480 divisors, whose sum is σ = 8147335680. Its totient is φ = 401117184.

The previous prime is 2012141023. The next prime is 2012141069. The reversal of 2012141040 is 401412102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 5394294 + ... + 5394666.

It is an arithmetic number, because the mean of its divisors is an integer number (16973616).

Almost surely, 2^2012141040 is an apocalyptic number.

2012141040 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 2012141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073667840).

2012141040 is an abundant number, since it is smaller than the sum of its proper divisors (6135194640).

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

2012141040 is a wasteful number, since it uses less digits than its factorization.

2012141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2012141040 is about 44856.8951221549. The cubic root of 2012141040 is about 1262.4653670204.

Adding to 2012141040 its reverse (401412102), we get a palindrome (2413553142).

The spelling of 2012141040 in words is "two billion, twelve million, one hundred forty-one thousand, forty".