2578457820 has 96 divisors (see below), whose sum is σ = 7373717568. Its totient is φ = 673062912.

The previous prime is 2578457809. The next prime is 2578457837. The reversal of 2578457820 is 287548752.

It is a self number, because there is not a number n which added to its sum of digits gives 2578457820.

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, 597912 + ... + 602208.

It is an arithmetic number, because the mean of its divisors is an integer number (76809558).

Almost surely, 2^2578457820 is an apocalyptic number.

2578457820 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 2578457820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686858784).

2578457820 is an abundant number, since it is smaller than the sum of its proper divisors (4795259748).

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

2578457820 is a wasteful number, since it uses less digits than its factorization.

2578457820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 48.

The square root of 2578457820 is about 50778.5173080113. The cubic root of 2578457820 is about 1371.2606401209.

The spelling of 2578457820 in words is "two billion, five hundred seventy-eight million, four hundred fifty-seven thousand, eight hundred twenty".