2578578000 has 160 divisors (see below), whose sum is σ = 8431817472. Its totient is φ = 677824000.

The previous prime is 2578577999. The next prime is 2578578017. The reversal of 2578578000 is 8758752.

It is a happy number.

2578578000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422974 + ... + 429026.

Almost surely, 2^2578578000 is an apocalyptic number.

2578578000 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 2578578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215908736).

2578578000 is an abundant number, since it is smaller than the sum of its proper divisors (5853239472).

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

2578578000 is a wasteful number, since it uses less digits than its factorization.

2578578000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6150 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The square root of 2578578000 is about 50779.7006686727. The cubic root of 2578578000 is about 1371.2819442693.

The spelling of 2578578000 in words is "two billion, five hundred seventy-eight million, five hundred seventy-eight thousand".