2011412240 has 40 divisors (see below), whose sum is σ = 4687032600. Its totient is φ = 802758656.

The previous prime is 2011412237. The next prime is 2011412279. The reversal of 2011412240 is 422141102.

It can be written as a sum of positive squares in 4 ways, for example, as 210598144 + 1800814096 = 14512^2 + 42436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7922 + ... + 63918.

It is an arithmetic number, because the mean of its divisors is an integer number (117175815).

Almost surely, 2^2011412240 is an apocalyptic number.

2011412240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011412240 is an abundant number, since it is smaller than the sum of its proper divisors (2675620360).

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

2011412240 is a wasteful number, since it uses less digits than its factorization.

2011412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56459 (or 56453 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2011412240 is about 44848.7707746823. The cubic root of 2011412240 is about 1262.3129264362.

Adding to 2011412240 its reverse (422141102), we get a palindrome (2433553342).

The spelling of 2011412240 in words is "two billion, eleven million, four hundred twelve thousand, two hundred forty".