2078539200 has 504 divisors, whose sum is σ = 7959669120. Its totient is φ = 512870400.

The previous prime is 2078539163. The next prime is 2078539201. The reversal of 2078539200 is 29358702.

It is a happy number.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078539201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19425547 + ... + 19425653.

Almost surely, 2^2078539200 is an apocalyptic number.

2078539200 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 2078539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979834560).

2078539200 is an abundant number, since it is smaller than the sum of its proper divisors (5881129920).

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

2078539200 is a wasteful number, since it uses less digits than its factorization.

2078539200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2078539200 is about 45590.9991116668. Note that the first 3 decimals coincide. The cubic root of 2078539200 is about 1276.2019576630.

The spelling of 2078539200 in words is "two billion, seventy-eight million, five hundred thirty-nine thousand, two hundred".