2578368000 has 320 divisors, whose sum is σ = 9240783552. Its totient is φ = 634060800.

The previous prime is 2578367999. The next prime is 2578368007. The reversal of 2578368000 is 8638752.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2578368000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578368007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2495484 + ... + 2496516.

Almost surely, 2^2578368000 is an apocalyptic number.

2578368000 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 2578368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4620391776).

2578368000 is an abundant number, since it is smaller than the sum of its proper divisors (6662415552).

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

2578368000 is a wasteful number, since it uses less digits than its factorization.

2578368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2578368000 is about 50777.6328711767. The cubic root of 2578368000 is about 1371.2447174171.

The spelling of 2578368000 in words is "two billion, five hundred seventy-eight million, three hundred sixty-eight thousand".