2068777620 has 288 divisors, whose sum is σ = 7872463872. Its totient is φ = 428073984.

The previous prime is 2068777609. The next prime is 2068777637. The reversal of 2068777620 is 267778602.

It is a happy number.

2068777620 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 866949 + ... + 869331.

It is an arithmetic number, because the mean of its divisors is an integer number (27334944).

Almost surely, 2^2068777620 is an apocalyptic number.

2068777620 is a gapful number since it is divisible by the number (20) 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 2068777620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936231936).

2068777620 is an abundant number, since it is smaller than the sum of its proper divisors (5803686252).

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

2068777620 is a wasteful number, since it uses less digits than its factorization.

2068777620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 2068777620 is about 45483.8171221370. The cubic root of 2068777620 is about 1274.2009849616.

The spelling of 2068777620 in words is "two billion, sixty-eight million, seven hundred seventy-seven thousand, six hundred twenty".