2067769242 has 192 divisors, whose sum is σ = 5888090880. Its totient is φ = 526331520.

The previous prime is 2067769229. The next prime is 2067769271. The reversal of 2067769242 is 2429677602.

It is a super-2 number, since 2×2067769242² = 8551339276322509128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2423688 + ... + 2424540.

It is an arithmetic number, because the mean of its divisors is an integer number (30667140).

Almost surely, 2^2067769242 is an apocalyptic number.

2067769242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2067769242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944045440).

2067769242 is an abundant number, since it is smaller than the sum of its proper divisors (3820321638).

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

2067769242 is a wasteful number, since it uses less digits than its factorization.

2067769242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2067769242 is about 45472.7307515174. The cubic root of 2067769242 is about 1273.9939246753.

The spelling of 2067769242 in words is "two billion, sixty-seven million, seven hundred sixty-nine thousand, two hundred forty-two".