2578988160 has 768 divisors, whose sum is σ = 11120578560. Its totient is φ = 558379008.

The previous prime is 2578988143. The next prime is 2578988173. The reversal of 2578988160 is 618898752.

2578988160 is a `hidden beast` number, since 2 + 578 + 9 + 8 + 8 + 1 + 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 = 2578988097 and 2578988106.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 25038669 + ... + 25038771.

It is an arithmetic number, because the mean of its divisors is an integer number (14479920).

Almost surely, 2^2578988160 is an apocalyptic number.

2578988160 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 2578988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560289280).

2578988160 is an abundant number, since it is smaller than the sum of its proper divisors (8541590400).

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

2578988160 is a wasteful number, since it uses less digits than its factorization.

2578988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 2578988160 is about 50783.7391297648. The cubic root of 2578988160 is about 1371.3546478011.

The spelling of 2578988160 in words is "two billion, five hundred seventy-eight million, nine hundred eighty-eight thousand, one hundred sixty".