2011400322240 has 224 divisors, whose sum is σ = 6567909891840. Its totient is φ = 521238122496.

The previous prime is 2011400322233. The next prime is 2011400322257. The reversal of 2011400322240 is 422230041102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8008491 + ... + 8255829.

Almost surely, 2^{2011400322240} is an apocalyptic number.

2011400322240 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 2011400322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283954945920).

2011400322240 is an abundant number, since it is smaller than the sum of its proper divisors (4556509569600).

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

2011400322240 is a wasteful number, since it uses less digits than its factorization.

2011400322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247599 (or 247589 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2011400322240 its reverse (422230041102), we get a palindrome (2433630363342).

The spelling of 2011400322240 in words is "two trillion, eleven billion, four hundred million, three hundred twenty-two thousand, two hundred forty".