2078169600 has 480 divisors, whose sum is σ = 7757253504. Its totient is φ = 486604800.

The previous prime is 2078169589. The next prime is 2078169629. The reversal of 2078169600 is 69618702.

2078169600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11481510 + ... + 11481690.

Almost surely, 2^2078169600 is an apocalyptic number.

2078169600 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 2078169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878626752).

2078169600 is an abundant number, since it is smaller than the sum of its proper divisors (5679083904).

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

2078169600 is a wasteful number, since it uses less digits than its factorization.

2078169600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2078169600 is about 45586.9454997810. The cubic root of 2078169600 is about 1276.1263096302.

The spelling of 2078169600 in words is "two billion, seventy-eight million, one hundred sixty-nine thousand, six hundred".