2875284808704 has 1408 divisors, whose sum is σ = 11460579840000. Its totient is φ = 689173954560.

The previous prime is 2875284808633. The next prime is 2875284808729. The reversal of 2875284808704 is 4078084825782.

2875284808704 is a `hidden beast` number, since 2 + 8 + 75 + 2 + 8 + 480 + 87 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1918134547 + ... + 1918136045.

Almost surely, 2^{2875284808704} is an apocalyptic number.

2875284808704 is a gapful number since it is divisible by the number (24) 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 2875284808704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730289920000).

2875284808704 is an abundant number, since it is smaller than the sum of its proper divisors (8585295031296).

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

2875284808704 is a wasteful number, since it uses less digits than its factorization.

2875284808704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 64225280, while the sum is 63.

The spelling of 2875284808704 in words is "two trillion, eight hundred seventy-five billion, two hundred eighty-four million, eight hundred eight thousand, seven hundred four".