2006524416 has 320 divisors, whose sum is σ = 6385091328. Its totient is φ = 553648128.

The previous prime is 2006524343. The next prime is 2006524447. The reversal of 2006524416 is 6144256002.

It is a super-2 number, since 2×2006524416² = 8052280464008282112, which contains 22 as substring.

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7807360 + ... + 7807616.

Almost surely, 2^2006524416 is an apocalyptic number.

2006524416 is a gapful number since it is divisible by the number (26) 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 2006524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192545664).

2006524416 is an abundant number, since it is smaller than the sum of its proper divisors (4378566912).

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

2006524416 is a wasteful number, since it uses less digits than its factorization.

2006524416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2006524416 is about 44794.2453446869. The cubic root of 2006524416 is about 1261.2896043117.

The spelling of 2006524416 in words is "two billion, six million, five hundred twenty-four thousand, four hundred sixteen".