2029779440 has 80 divisors (see below), whose sum is σ = 5303285568. Its totient is φ = 716863488.

The previous prime is 2029779403. The next prime is 2029779449. The reversal of 2029779440 is 449779202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2029779391 and 2029779400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029779449) 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, 18509 + ... + 66348.

Almost surely, 2^2029779440 is an apocalyptic number.

2029779440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2029779440 is an abundant number, since it is smaller than the sum of its proper divisors (3273506128).

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

2029779440 is a wasteful number, since it uses less digits than its factorization.

2029779440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84906 (or 84900 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 2029779440 is about 45053.0735910437. The cubic root of 2029779440 is about 1266.1435580804.

The spelling of 2029779440 in words is "two billion, twenty-nine million, seven hundred seventy-nine thousand, four hundred forty".