2067824640 has 256 divisors, whose sum is σ = 7574797440. Its totient is φ = 471859200.

The previous prime is 2067824639. The next prime is 2067824657. The reversal of 2067824640 is 464287602.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×2067824640² = 8551797483582259200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3440340 + ... + 3440940.

Almost surely, 2^2067824640 is an apocalyptic number.

2067824640 is a gapful number since it is divisible by the number (20) 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 2067824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787398720).

2067824640 is an abundant number, since it is smaller than the sum of its proper divisors (5506972800).

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

2067824640 is an frugal number, since it uses more digits than its factorization.

2067824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 2067824640 is about 45473.3398817373. The cubic root of 2067824640 is about 1274.0053018451.

The spelling of 2067824640 in words is "two billion, sixty-seven million, eight hundred twenty-four thousand, six hundred forty".