2578747860 has 384 divisors, whose sum is σ = 9144576000. Its totient is φ = 598800384.

The previous prime is 2578747859. The next prime is 2578747891. The reversal of 2578747860 is 687478752.

It is a happy number.

2578747860 is a `hidden beast` number, since 2 + 578 + 7 + 4 + 7 + 8 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2578747797 and 2578747806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10789621 + ... + 10789859.

It is an arithmetic number, because the mean of its divisors is an integer number (23814000).

Almost surely, 2^2578747860 is an apocalyptic number.

2578747860 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 2578747860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572288000).

2578747860 is an abundant number, since it is smaller than the sum of its proper divisors (6565828140).

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

2578747860 is a wasteful number, since it uses less digits than its factorization.

2578747860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The square root of 2578747860 is about 50781.3731598507. The cubic root of 2578747860 is about 1371.3120539960.

The spelling of 2578747860 in words is "two billion, five hundred seventy-eight million, seven hundred forty-seven thousand, eight hundred sixty".