2578080960 has 560 divisors, whose sum is σ = 11297326656. Its totient is φ = 543449088.

The previous prime is 2578080941. The next prime is 2578080979. The reversal of 2578080960 is 690808752.

It is an interprime number because it is at equal distance from previous prime (2578080941) and next prime (2578080979).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2358174 + ... + 2359266.

Almost surely, 2^2578080960 is an apocalyptic number.

2578080960 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 2578080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648663328).

2578080960 is an abundant number, since it is smaller than the sum of its proper divisors (8719245696).

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

2578080960 is a wasteful number, since it uses less digits than its factorization.

2578080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2578080960 is about 50774.8063511817. The cubic root of 2578080960 is about 1371.1938303585.

The spelling of 2578080960 in words is "two billion, five hundred seventy-eight million, eighty thousand, nine hundred sixty".