2870768302080 has 384 divisors, whose sum is σ = 10719608739840. Its totient is φ = 642212167680.

The previous prime is 2870768302079. The next prime is 2870768302123. The reversal of 2870768302080 is 802038670782.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2870768302080² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9964860 + ... + 10248900.

It is an arithmetic number, because the mean of its divisors is an integer number (27915647760).

Almost surely, 2^{2870768302080} is an apocalyptic number.

2870768302080 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 2870768302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359804369920).

2870768302080 is an abundant number, since it is smaller than the sum of its proper divisors (7848840437760).

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

2870768302080 is a wasteful number, since it uses less digits than its factorization.

2870768302080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284125 (or 284105 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 2870768302080 in words is "two trillion, eight hundred seventy billion, seven hundred sixty-eight million, three hundred two thousand, eighty".