2878671467520 has 704 divisors, whose sum is σ = 10691950663680. Its totient is φ = 742793379840.

The previous prime is 2878671467471. The next prime is 2878671467531. The reversal of 2878671467520 is 257641768782.

It is a happy number.

2878671467520 is a `hidden beast` number, since 2 + 8 + 7 + 8 + 67 + 1 + 46 + 7 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 347116494 + ... + 347124786.

It is an arithmetic number, because the mean of its divisors is an integer number (15187429920).

Almost surely, 2^{2878671467520} is an apocalyptic number.

2878671467520 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 2878671467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5345975331840).

2878671467520 is an abundant number, since it is smaller than the sum of its proper divisors (7813279196160).

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

2878671467520 is an frugal number, since it uses more digits than its factorization.

2878671467520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8370 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 2878671467520 in words is "two trillion, eight hundred seventy-eight billion, six hundred seventy-one million, four hundred sixty-seven thousand, five hundred twenty".