2578178400 has 576 divisors, whose sum is σ = 10394334720. Its totient is φ = 541900800.

The previous prime is 2578178371. The next prime is 2578178411. The reversal of 2578178400 is 48718752.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 13087102 + ... + 13087298.

It is an arithmetic number, because the mean of its divisors is an integer number (18045720).

Almost surely, 2^2578178400 is an apocalyptic number.

2578178400 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 2578178400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197167360).

2578178400 is an abundant number, since it is smaller than the sum of its proper divisors (7816156320).

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

2578178400 is a wasteful number, since it uses less digits than its factorization.

2578178400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 2578178400 is about 50775.7658731013. The cubic root of 2578178400 is about 1371.2111051513.

The spelling of 2578178400 in words is "two billion, five hundred seventy-eight million, one hundred seventy-eight thousand, four hundred".