2578544640 has 432 divisors, whose sum is σ = 10414043640. Its totient is φ = 588349440.

The previous prime is 2578544621. The next prime is 2578544641. The reversal of 2578544640 is 464458752.

It is a super-3 number, since 3×2578544640³ (a number of 29 digits) contains 333 as substring.

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 (2578544641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4515555 + ... + 4516125.

Almost surely, 2^2578544640 is an apocalyptic number.

2578544640 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 2578544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207021820).

2578544640 is an abundant number, since it is smaller than the sum of its proper divisors (7835499000).

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

2578544640 is a wasteful number, since it uses less digits than its factorization.

2578544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 2578544640 is about 50779.3721898962. The cubic root of 2578544640 is about 1371.2760306529.

The spelling of 2578544640 in words is "two billion, five hundred seventy-eight million, five hundred forty-four thousand, six hundred forty".