2011022002038 has 32 divisors (see below), whose sum is σ = 4596745982976. Its totient is φ = 574562181888.

The previous prime is 2011022001949. The next prime is 2011022002039. The reversal of 2011022002038 is 8302002201102.

It is a happy number.

It is a super-3 number, since 3×2011022002038³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011022002039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972595 + ... + 2228897.

It is an arithmetic number, because the mean of its divisors is an integer number (143648311968).

Almost surely, 2^{2011022002038} is an apocalyptic number.

2011022002038 is an abundant number, since it is smaller than the sum of its proper divisors (2585723980938).

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

2011022002038 is a wasteful number, since it uses less digits than its factorization.

2011022002038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294428.

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 2011022002038 in words is "two trillion, eleven billion, twenty-two million, two thousand, thirty-eight".