2861814147840 has 864 divisors, whose sum is σ = 10838845495296. Its totient is φ = 695017635840.

The previous prime is 2861814147823. The next prime is 2861814147851. The reversal of 2861814147840 is 487414181682.

2861814147840 is a `hidden beast` number, since 2 + 8 + 6 + 181 + 414 + 7 + 8 + 40 = 666.

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 95 ways as a sum of consecutive naturals, for example, 460762335 + ... + 460768545.

It is an arithmetic number, because the mean of its divisors is an integer number (12544960064).

Almost surely, 2^{2861814147840} is an apocalyptic number.

2861814147840 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 2861814147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419422747648).

2861814147840 is an abundant number, since it is smaller than the sum of its proper divisors (7977031347456).

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

2861814147840 is a wasteful number, since it uses less digits than its factorization.

2861814147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 2861814147840 in words is "two trillion, eight hundred sixty-one billion, eight hundred fourteen million, one hundred forty-seven thousand, eight hundred forty".