2078290800 has 360 divisors, whose sum is σ = 7906569840. Its totient is φ = 503193600.

The previous prime is 2078290789. The next prime is 2078290811. The reversal of 2078290800 is 80928702.

It is an interprime number because it is at equal distance from previous prime (2078290789) and next prime (2078290811).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1774215 + ... + 1775385.

It is an arithmetic number, because the mean of its divisors is an integer number (21962694).

Almost surely, 2^2078290800 is an apocalyptic number.

2078290800 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 2078290800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953284920).

2078290800 is an abundant number, since it is smaller than the sum of its proper divisors (5828279040).

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

2078290800 is a wasteful number, since it uses less digits than its factorization.

2078290800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2078290800 is about 45588.2748083320. The cubic root of 2078290800 is about 1276.1511172786.

The spelling of 2078290800 in words is "two billion, seventy-eight million, two hundred ninety thousand, eight hundred".