2011002230400 has 96 divisors (see below), whose sum is σ = 6623738628000. Its totient is φ = 536267258880.

The previous prime is 2011002230383. The next prime is 2011002230443. The reversal of 2011002230400 is 40322001102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2011002230400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104730100 + ... + 104749299.

It is an arithmetic number, because the mean of its divisors is an integer number (68997277375).

Almost surely, 2^{2011002230400} is an apocalyptic number.

2011002230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011002230400 is an abundant number, since it is smaller than the sum of its proper divisors (4612736397600).

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

2011002230400 is a wasteful number, since it uses less digits than its factorization.

2011002230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209479426 (or 209479409 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2011002230400 its reverse (40322001102), we get a palindrome (2051324231502).

The spelling of 2011002230400 in words is "two trillion, eleven billion, two million, two hundred thirty thousand, four hundred".