2011005024 has 48 divisors (see below), whose sum is σ = 6033017088. Its totient is φ = 574572672.

The previous prime is 2011005013. The next prime is 2011005043. The reversal of 2011005024 is 4205001102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2011004994 and 2011005012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1495612 + ... + 1496955.

It is an arithmetic number, because the mean of its divisors is an integer number (125687856).

Almost surely, 2^2011005024 is an apocalyptic number.

2011005024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2011005024 is an abundant number, since it is smaller than the sum of its proper divisors (4022012064).

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

2011005024 is a wasteful number, since it uses less digits than its factorization.

2011005024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992587 (or 2992579 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2011005024 is about 44844.2306657166. The cubic root of 2011005024 is about 1262.2277344330.

Adding to 2011005024 its reverse (4205001102), we get a palindrome (6216006126).

The spelling of 2011005024 in words is "two billion, eleven million, five thousand, twenty-four".