2578625280 has 1440 divisors, whose sum is σ = 12821276160. Its totient is φ = 477757440.

The previous prime is 2578625251. The next prime is 2578625311. The reversal of 2578625280 is 825268752.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 135717111 + ... + 135717129.

It is an arithmetic number, because the mean of its divisors is an integer number (8903664).

Almost surely, 2^2578625280 is an apocalyptic number.

2578625280 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 2578625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410638080).

2578625280 is an abundant number, since it is smaller than the sum of its proper divisors (10242650880).

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

2578625280 is a wasteful number, since it uses less digits than its factorization.

2578625280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2578625280 is about 50780.1662068962. The cubic root of 2578625280 is about 1371.2903253504.

The spelling of 2578625280 in words is "two billion, five hundred seventy-eight million, six hundred twenty-five thousand, two hundred eighty".