2078151768 has 384 divisors, whose sum is σ = 7471833600. Its totient is φ = 523480320.

The previous prime is 2078151763. The next prime is 2078151799. The reversal of 2078151768 is 8671518702.

It is a happy number.

2078151768 is a `hidden beast` number, since 2 + 0 + 78 + 1 + 517 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078151763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6769071 + ... + 6769377.

It is an arithmetic number, because the mean of its divisors is an integer number (19457900).

Almost surely, 2^2078151768 is an apocalyptic number.

2078151768 is a gapful number since it is divisible by the number (28) 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 2078151768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735916800).

2078151768 is an abundant number, since it is smaller than the sum of its proper divisors (5393681832).

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

2078151768 is a wasteful number, since it uses less digits than its factorization.

2078151768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 2078151768 is about 45586.7499170537. The cubic root of 2078151768 is about 1276.1226596315.

The spelling of 2078151768 in words is "two billion, seventy-eight million, one hundred fifty-one thousand, seven hundred sixty-eight".