2067791424 has 56 divisors (see below), whose sum is σ = 5487728928. Its totient is φ = 687160320.

The previous prime is 2067791423. The next prime is 2067791459. The reversal of 2067791424 is 4241977602.

It is a super-2 number, since 2×2067791424² = 8551522746335895552, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2067791423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47284 + ... + 79820.

Almost surely, 2^2067791424 is an apocalyptic number.

2067791424 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 2067791424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743864464).

2067791424 is an abundant number, since it is smaller than the sum of its proper divisors (3419937504).

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

2067791424 is a wasteful number, since it uses less digits than its factorization.

2067791424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32883 (or 32873 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 2067791424 is about 45472.9746552829. The cubic root of 2067791424 is about 1273.9984802501.

It can be divided in two parts, 20677 and 91424, that added together give a triangular number (112101 = T₄₇₃).

The spelling of 2067791424 in words is "two billion, sixty-seven million, seven hundred ninety-one thousand, four hundred twenty-four".