2578020929280 has 720 divisors, whose sum is σ = 9375558192000. Its totient is φ = 676292198400.

The previous prime is 2578020929221. The next prime is 2578020929299. The reversal of 2578020929280 is 829290208752.

2578020929280 is a `hidden beast` number, since 2 + 5 + 78 + 0 + 209 + 292 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2578020929280² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3677632930 + ... + 3677633630.

It is an arithmetic number, because the mean of its divisors is an integer number (13021608600).

Almost surely, 2^{2578020929280} is an apocalyptic number.

2578020929280 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 2578020929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687779096000).

2578020929280 is an abundant number, since it is smaller than the sum of its proper divisors (6797537262720).

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

2578020929280 is an equidigital number, since it uses as much as digits as its factorization.

2578020929280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2578020929280 in words is "two trillion, five hundred seventy-eight billion, twenty million, nine hundred twenty-nine thousand, two hundred eighty".