2878162560 has 1152 divisors, whose sum is σ = 13677955200. Its totient is φ = 541458432.

The previous prime is 2878162513. The next prime is 2878162589. The reversal of 2878162560 is 652618782.

2878162560 is a `hidden beast` number, since 2 + 8 + 7 + 81 + 6 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 143 ways as a sum of consecutive naturals, for example, 151482231 + ... + 151482249.

It is an arithmetic number, because the mean of its divisors is an integer number (11873225).

Almost surely, 2^2878162560 is an apocalyptic number.

2878162560 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 2878162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6838977600).

2878162560 is an abundant number, since it is smaller than the sum of its proper divisors (10799792640).

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

2878162560 is a wasteful number, since it uses less digits than its factorization.

2878162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2878162560 is about 53648.5093921537. The cubic root of 2878162560 is about 1422.4546843689.

The spelling of 2878162560 in words is "two billion, eight hundred seventy-eight million, one hundred sixty-two thousand, five hundred sixty".