2887825261104 has 1280 divisors, whose sum is σ = 10833592320000. Its totient is φ = 717352796160.

The previous prime is 2887825261051. The next prime is 2887825261109. The reversal of 2887825261104 is 4011625287882.

2887825261104 is a `hidden beast` number, since 2 + 8 + 8 + 7 + 8 + 2 + 526 + 1 + 104 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2887825261109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6431681872 + ... + 6431682320.

It is an arithmetic number, because the mean of its divisors is an integer number (8463744000).

Almost surely, 2^{2887825261104} is an apocalyptic number.

2887825261104 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 2887825261104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416796160000).

2887825261104 is an abundant number, since it is smaller than the sum of its proper divisors (7945767058896).

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

2887825261104 is a wasteful number, since it uses less digits than its factorization.

2887825261104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 2887825261104 in words is "two trillion, eight hundred eighty-seven billion, eight hundred twenty-five million, two hundred sixty-one thousand, one hundred four".