2067924440 has 64 divisors (see below), whose sum is σ = 4810440960. Its totient is φ = 799234560.

The previous prime is 2067924403. The next prime is 2067924449. The reversal of 2067924440 is 444297602.

It is a super-2 number, since 2×2067924440² = 8552622979098627200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2067924394 and 2067924403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067924449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1384334 + ... + 1385826.

It is an arithmetic number, because the mean of its divisors is an integer number (75163140).

Almost surely, 2^2067924440 is an apocalyptic number.

2067924440 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 2067924440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405220480).

2067924440 is an abundant number, since it is smaller than the sum of its proper divisors (2742516520).

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

2067924440 is a wasteful number, since it uses less digits than its factorization.

2067924440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 2067924440 is about 45474.4372147694. The cubic root of 2067924440 is about 1274.0257974070.

The spelling of 2067924440 in words is "two billion, sixty-seven million, nine hundred twenty-four thousand, four hundred forty".