2875354560 has 336 divisors, whose sum is σ = 10833994080. Its totient is φ = 695623680.

The previous prime is 2875354459. The next prime is 2875354567. The reversal of 2875354560 is 654535782.

2875354560 is a `hidden beast` number, since 2 + 87 + 5 + 3 + 5 + 4 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2875354567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2283211 + ... + 2284469.

It is an arithmetic number, because the mean of its divisors is an integer number (32244030).

Almost surely, 2^2875354560 is an apocalyptic number.

2875354560 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 2875354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416997040).

2875354560 is an abundant number, since it is smaller than the sum of its proper divisors (7958639520).

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

2875354560 is a wasteful number, since it uses less digits than its factorization.

2875354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 2875354560 is about 53622.3326609352. The cubic root of 2875354560 is about 1421.9919409419.

It can be divided in two parts, 2875 and 354560, that added together give a triangular number (357435 = T₈₄₅).

The spelling of 2875354560 in words is "two billion, eight hundred seventy-five million, three hundred fifty-four thousand, five hundred sixty".