2011034240 has 64 divisors (see below), whose sum is σ = 4817957760. Its totient is φ = 802685952.

The previous prime is 2011034237. The next prime is 2011034251. The reversal of 2011034240 is 424301102.

It is a tau number, because it is divible by the number of its divisors (64).

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, 318797 + ... + 325043.

It is an arithmetic number, because the mean of its divisors is an integer number (75280590).

Almost surely, 2^2011034240 is an apocalyptic number.

2011034240 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 2011034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408978880).

2011034240 is an abundant number, since it is smaller than the sum of its proper divisors (2806923520).

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

2011034240 is an equidigital number, since it uses as much as digits as its factorization.

2011034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6769 (or 6757 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2011034240 is about 44844.5564143520. The cubic root of 2011034240 is about 1262.2338469765.

Adding to 2011034240 its reverse (424301102), we get a palindrome (2435335342).

The spelling of 2011034240 in words is "two billion, eleven million, thirty-four thousand, two hundred forty".