2078265600 has 540 divisors, whose sum is σ = 8127066640. Its totient is φ = 522547200.

The previous prime is 2078265593. The next prime is 2078265647. The reversal of 2078265600 is 65628702.

2078265600 is a `hidden beast` number, since 2 + 0 + 78 + 26 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

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 59 ways as a sum of consecutive naturals, for example, 9849495 + ... + 9849705.

Almost surely, 2^2078265600 is an apocalyptic number.

2078265600 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 2078265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063533320).

2078265600 is an abundant number, since it is smaller than the sum of its proper divisors (6048801040).

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

2078265600 is a wasteful number, since it uses less digits than its factorization.

2078265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2078265600 is about 45587.9984206370. The cubic root of 2078265600 is about 1276.1459593321.

The spelling of 2078265600 in words is "two billion, seventy-eight million, two hundred sixty-five thousand, six hundred".