2078204040 has 672 divisors, whose sum is σ = 8373254400. Its totient is φ = 461894400.

The previous prime is 2078204039. The next prime is 2078204053. The reversal of 2078204040 is 404028702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2078203995 and 2078204013.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 67038825 + ... + 67038855.

It is an arithmetic number, because the mean of its divisors is an integer number (12460200).

Almost surely, 2^2078204040 is an apocalyptic number.

2078204040 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 2078204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186627200).

2078204040 is an abundant number, since it is smaller than the sum of its proper divisors (6295050360).

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

2078204040 is a wasteful number, since it uses less digits than its factorization.

2078204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2078204040 is about 45587.3232379353. The cubic root of 2078204040 is about 1276.1333590304.

The spelling of 2078204040 in words is "two billion, seventy-eight million, two hundred four thousand, forty".