2067780400 has 90 divisors (see below), whose sum is σ = 5778973500. Its totient is φ = 708946560.

The previous prime is 2067780391. The next prime is 2067780401. The reversal of 2067780400 is 40877602.

It is not an unprimeable number, because it can be changed into a prime (2067780401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33150 + ... + 72349.

Almost surely, 2^2067780400 is an apocalyptic number.

2067780400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2067780400 is an abundant number, since it is smaller than the sum of its proper divisors (3711193100).

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

2067780400 is a wasteful number, since it uses less digits than its factorization.

2067780400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105531 (or 105513 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 2067780400 is about 45472.8534402670. The cubic root of 2067780400 is about 1273.9962162267.

The spelling of 2067780400 in words is "two billion, sixty-seven million, seven hundred eighty thousand, four hundred".