2578093920 has 504 divisors, whose sum is σ = 9846286128. Its totient is φ = 636387840.

The previous prime is 2578093891. The next prime is 2578093927. The reversal of 2578093920 is 293908752.

2578093920 is a `hidden beast` number, since 257 + 8 + 0 + 9 + 392 + 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 not an unprimeable number, because it can be changed into a prime (2578093927) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 83164305 + ... + 83164335.

It is an arithmetic number, because the mean of its divisors is an integer number (19536282).

Almost surely, 2^2578093920 is an apocalyptic number.

2578093920 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 2578093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4923143064).

2578093920 is an abundant number, since it is smaller than the sum of its proper divisors (7268192208).

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

2578093920 is an equidigital number, since it uses as much as digits as its factorization.

2578093920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2578093920 is about 50774.9339733692. The cubic root of 2578093920 is about 1371.1961280161.

The spelling of 2578093920 in words is "two billion, five hundred seventy-eight million, ninety-three thousand, nine hundred twenty".