2010067488 has 720 divisors, whose sum is σ = 7664774040. Its totient is φ = 510935040.

The previous prime is 2010067427. The next prime is 2010067529. The reversal of 2010067488 is 8847600102.

It can be written as a sum of positive squares in 4 ways, for example, as 1663660944 + 346406544 = 40788^2 + 18612^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 69312658 + ... + 69312686.

Almost surely, 2^2010067488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010067488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832387020).

2010067488 is an abundant number, since it is smaller than the sum of its proper divisors (5654706552).

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

2010067488 is a wasteful number, since it uses less digits than its factorization.

2010067488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2010067488 is about 44833.7761960779. The cubic root of 2010067488 is about 1262.0315526112.

The spelling of 2010067488 in words is "two billion, ten million, sixty-seven thousand, four hundred eighty-eight".