2578823447340 has 768 divisors, whose sum is σ = 9679896576000. Its totient is φ = 499055800320.

The previous prime is 2578823447329. The next prime is 2578823447341. The reversal of 2578823447340 is 437443288752.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2578823447341) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 164994646 + ... + 165010274.

It is an arithmetic number, because the mean of its divisors is an integer number (12604032000).

Almost surely, 2^{2578823447340} is an apocalyptic number.

2578823447340 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 2578823447340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839948288000).

2578823447340 is an abundant number, since it is smaller than the sum of its proper divisors (7101073128660).

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

2578823447340 is a wasteful number, since it uses less digits than its factorization.

2578823447340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15750 (or 15748 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 57.

The spelling of 2578823447340 in words is "two trillion, five hundred seventy-eight billion, eight hundred twenty-three million, four hundred forty-seven thousand, three hundred forty".