2867461859808 has 576 divisors, whose sum is σ = 10760510214720. Its totient is φ = 735809163264.

The previous prime is 2867461859753. The next prime is 2867461859809. The reversal of 2867461859808 is 8089581647682.

2867461859808 is a `hidden beast` number, since 2 + 8 + 6 + 7 + 461 + 85 + 9 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2867461859809) 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 95 ways as a sum of consecutive naturals, for example, 20293210 + ... + 20434022.

It is an arithmetic number, because the mean of its divisors is an integer number (18681441345).

Almost surely, 2^{2867461859808} is an apocalyptic number.

2867461859808 is a gapful number since it is divisible by the number (28) 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 2867461859808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380255107360).

2867461859808 is an abundant number, since it is smaller than the sum of its proper divisors (7893048354912).

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

2867461859808 is a wasteful number, since it uses less digits than its factorization.

2867461859808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140896 (or 140875 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 2867461859808 in words is "two trillion, eight hundred sixty-seven billion, four hundred sixty-one million, eight hundred fifty-nine thousand, eight hundred eight".