2578785300 has 648 divisors, whose sum is σ = 10669067136. Its totient is φ = 506373120.

The previous prime is 2578785281. The next prime is 2578785359. The reversal of 2578785300 is 35878752.

2578785300 is a `hidden beast` number, since 2 + 578 + 78 + 5 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 69696882 + ... + 69696918.

Almost surely, 2^2578785300 is an apocalyptic number.

2578785300 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 2578785300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334533568).

2578785300 is an abundant number, since it is smaller than the sum of its proper divisors (8090281836).

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

2578785300 is a wasteful number, since it uses less digits than its factorization.

2578785300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 2578785300 is about 50781.7417976186. The cubic root of 2578785300 is about 1371.3186905082.

The spelling of 2578785300 in words is "two billion, five hundred seventy-eight million, seven hundred eighty-five thousand, three hundred".