2010054024 has 192 divisors, whose sum is σ = 6321032640. Its totient is φ = 570286080.

The previous prime is 2010054017. The next prime is 2010054037. The reversal of 2010054024 is 4204500102.

2010054024 is a `hidden beast` number, since 2 + 0 + 100 + 540 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2010053988 and 2010054006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4537147 + ... + 4537589.

It is an arithmetic number, because the mean of its divisors is an integer number (32922045).

Almost surely, 2^2010054024 is an apocalyptic number.

2010054024 is a gapful number since it is divisible by the number (24) 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 2010054024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160516320).

2010054024 is an abundant number, since it is smaller than the sum of its proper divisors (4310978616).

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

2010054024 is a wasteful number, since it uses less digits than its factorization.

2010054024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2010054024 is about 44833.6260411758. The cubic root of 2010054024 is about 1262.0287347903.

Adding to 2010054024 its reverse (4204500102), we get a palindrome (6214554126).

The spelling of 2010054024 in words is "two billion, ten million, fifty-four thousand, twenty-four".