2078192064 has 336 divisors, whose sum is σ = 6532684928. Its totient is φ = 579059712.

The previous prime is 2078192041. The next prime is 2078192069. The reversal of 2078192064 is 4602918702.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078192069) 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, 31017759 + ... + 31017825.

Almost surely, 2^2078192064 is an apocalyptic number.

2078192064 is a gapful number since it is divisible by the number (24) 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 2078192064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266342464).

2078192064 is an abundant number, since it is smaller than the sum of its proper divisors (4454492864).

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

2078192064 is a wasteful number, since it uses less digits than its factorization.

2078192064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2078192064 is about 45587.1918854408. The cubic root of 2078192064 is about 1276.1309077147.

The spelling of 2078192064 in words is "two billion, seventy-eight million, one hundred ninety-two thousand, sixty-four".