2868410880000 has 1820 divisors, whose sum is σ = 11327214802860. Its totient is φ = 724598784000.

The previous prime is 2868410879959. The next prime is 2868410880017. The reversal of 2868410880000 is 880148682.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1877733052416 + 990677827584 = 1370304^2 + 995328^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 139 ways as a sum of consecutive naturals, for example, 54120959974 + ... + 54120960026.

Almost surely, 2^{2868410880000} is an apocalyptic number.

2868410880000 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 2868410880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663607401430).

2868410880000 is an abundant number, since it is smaller than the sum of its proper divisors (8458803922860).

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

2868410880000 is an frugal number, since it uses more digits than its factorization.

2868410880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 2868410880000 in words is "two trillion, eight hundred sixty-eight billion, four hundred ten million, eight hundred eighty thousand".