2578524480 has 672 divisors, whose sum is σ = 10863949824. Its totient is φ = 548646912.

The previous prime is 2578524449. The next prime is 2578524491. The reversal of 2578524480 is 844258752.

2578524480 is a `hidden beast` number, since 257 + 85 + 244 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31066519 + ... + 31066601.

It is an arithmetic number, because the mean of its divisors is an integer number (16166592).

Almost surely, 2^2578524480 is an apocalyptic number.

2578524480 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 2578524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5431974912).

2578524480 is an abundant number, since it is smaller than the sum of its proper divisors (8285425344).

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

2578524480 is a wasteful number, since it uses less digits than its factorization.

2578524480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 2578524480 is about 50779.1736837062. The cubic root of 2578524480 is about 1371.2724569320.

The spelling of 2578524480 in words is "two billion, five hundred seventy-eight million, five hundred twenty-four thousand, four hundred eighty".