2578863960 has 512 divisors, whose sum is σ = 9853747200. Its totient is φ = 596090880.

The previous prime is 2578863953. The next prime is 2578863967. The reversal of 2578863960 is 693688752.

It is a happy number.

2578863960 is a `hidden beast` number, since 2 + 578 + 8 + 6 + 3 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2578863953) and next prime (2578863967).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 2578863897 and 2578863906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578863967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13090582 + ... + 13090778.

It is an arithmetic number, because the mean of its divisors is an integer number (19245600).

Almost surely, 2^2578863960 is an apocalyptic number.

2578863960 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 2578863960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926873600).

2578863960 is an abundant number, since it is smaller than the sum of its proper divisors (7274883240).

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

2578863960 is a wasteful number, since it uses less digits than its factorization.

2578863960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2578863960 is about 50782.5162826735. The cubic root of 2578863960 is about 1371.3326333558.

The spelling of 2578863960 in words is "two billion, five hundred seventy-eight million, eight hundred sixty-three thousand, nine hundred sixty".