2011310032440 has 384 divisors, whose sum is σ = 6868737792000. Its totient is φ = 469260481536.

The previous prime is 2011310032423. The next prime is 2011310032447. The reversal of 2011310032440 is 442300131102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011310032447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34948729 + ... + 35006231.

It is an arithmetic number, because the mean of its divisors is an integer number (17887338000).

Almost surely, 2^{2011310032440} is an apocalyptic number.

2011310032440 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 2011310032440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434368896000).

2011310032440 is an abundant number, since it is smaller than the sum of its proper divisors (4857427759560).

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

2011310032440 is a wasteful number, since it uses less digits than its factorization.

2011310032440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57611 (or 57584 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2011310032440 its reverse (442300131102), we get a palindrome (2453610163542).

The spelling of 2011310032440 in words is "two trillion, eleven billion, three hundred ten million, thirty-two thousand, four hundred forty".