2077818336 has 288 divisors, whose sum is σ = 6999029856. Its totient is φ = 577536000.

The previous prime is 2077818331. The next prime is 2077818371. The reversal of 2077818336 is 6338187702.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2077818291 and 2077818300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2077818331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2207626 + ... + 2208566.

It is an arithmetic number, because the mean of its divisors is an integer number (24302187).

Almost surely, 2^2077818336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2077818336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499514928).

2077818336 is an abundant number, since it is smaller than the sum of its proper divisors (4921211520).

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

2077818336 is a wasteful number, since it uses less digits than its factorization.

2077818336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2077818336 is about 45583.0926550624. The cubic root of 2077818336 is about 1276.0544062126.

The spelling of 2077818336 in words is "two billion, seventy-seven million, eight hundred eighteen thousand, three hundred thirty-six".