2011000330400 has 144 divisors (see below), whose sum is σ = 5076190603008. Its totient is φ = 777150720000.

The previous prime is 2011000330387. The next prime is 2011000330429. The reversal of 2011000330400 is 40330001102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14837339 + ... + 14972261.

It is an arithmetic number, because the mean of its divisors is an integer number (35251323632).

Almost surely, 2^{2011000330400} is an apocalyptic number.

2011000330400 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 2011000330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538095301504).

2011000330400 is an abundant number, since it is smaller than the sum of its proper divisors (3065190272608).

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

2011000330400 is a wasteful number, since it uses less digits than its factorization.

2011000330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135575 (or 135562 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2011000330400 its reverse (40330001102), we get a palindrome (2051330331502).

The spelling of 2011000330400 in words is "two trillion, eleven billion, three hundred thirty thousand, four hundred".