2011335021024 has 48 divisors (see below), whose sum is σ = 6034005065088. Its totient is φ = 574667148672.

The previous prime is 2011335020999. The next prime is 2011335021037. The reversal of 2011335021024 is 4201205331102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2011335021024² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2011335020985 and 2011335021003.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1496528362 + ... + 1496529705.

It is an arithmetic number, because the mean of its divisors is an integer number (125708438856).

Almost surely, 2^{2011335021024} is an apocalyptic number.

2011335021024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2011335021024 is an abundant number, since it is smaller than the sum of its proper divisors (4022670044064).

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

2011335021024 is a wasteful number, since it uses less digits than its factorization.

2011335021024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993058087 (or 2993058079 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 2011335021024 in words is "two trillion, eleven billion, three hundred thirty-five million, twenty-one thousand, twenty-four".