2867280279552 has 576 divisors, whose sum is σ = 9466745127840. Its totient is φ = 828245016576.

The previous prime is 2867280279529. The next prime is 2867280279553. The reversal of 2867280279552 is 2559720827682.

It is a happy number.

2867280279552 is a `hidden beast` number, since 2 + 8 + 6 + 7 + 2 + 8 + 0 + 2 + 79 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×2867280279552³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2867280279552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2867280279553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2415568303 + ... + 2415569489.

Almost surely, 2^{2867280279552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2867280279552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733372563920).

2867280279552 is an abundant number, since it is smaller than the sum of its proper divisors (6599464848288).

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

2867280279552 is a wasteful number, since it uses less digits than its factorization.

2867280279552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 2867280279552 in words is "two trillion, eight hundred sixty-seven billion, two hundred eighty million, two hundred seventy-nine thousand, five hundred fifty-two".