2578892480 has 224 divisors, whose sum is σ = 6741688320. Its totient is φ = 936714240.

The previous prime is 2578892471. The next prime is 2578892501. The reversal of 2578892480 is 842988752.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

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, 20306177 + ... + 20306303.

Almost surely, 2^2578892480 is an apocalyptic number.

2578892480 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 2578892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370844160).

2578892480 is an abundant number, since it is smaller than the sum of its proper divisors (4162795840).

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

2578892480 is a wasteful number, since it uses less digits than its factorization.

2578892480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 53.

The square root of 2578892480 is about 50782.7970872027. The cubic root of 2578892480 is about 1371.3376885872.

The spelling of 2578892480 in words is "two billion, five hundred seventy-eight million, eight hundred ninety-two thousand, four hundred eighty".