2012270040 has 320 divisors, whose sum is σ = 7451896320. Its totient is φ = 482976000.

The previous prime is 2012270021. The next prime is 2012270063. The reversal of 2012270040 is 400722102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2012269995 and 2012270022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4668625 + ... + 4669055.

It is an arithmetic number, because the mean of its divisors is an integer number (23287176).

Almost surely, 2^2012270040 is an apocalyptic number.

2012270040 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 2012270040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725948160).

2012270040 is an abundant number, since it is smaller than the sum of its proper divisors (5439626280).

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

2012270040 is a wasteful number, since it uses less digits than its factorization.

2012270040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2012270040 is about 44858.3330051396. Note that the first 3 decimals coincide. The cubic root of 2012270040 is about 1262.4923456713.

Adding to 2012270040 its reverse (400722102), we get a palindrome (2412992142).

The spelling of 2012270040 in words is "two billion, twelve million, two hundred seventy thousand, forty".