2870406000000 has 2688 divisors, whose sum is σ = 13674199968000. Its totient is φ = 559872000000.

The previous prime is 2870405999963. The next prime is 2870406000037. The reversal of 2870406000000 is 6040782.

It is an interprime number because it is at equal distance from previous prime (2870405999963) and next prime (2870406000037).

It is a tau number, because it is divible by the number of its divisors (2688).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 26333999946 + ... + 26334000054.

Almost surely, 2^{2870406000000} is an apocalyptic number.

2870406000000 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 2870406000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6837099984000).

2870406000000 is an abundant number, since it is smaller than the sum of its proper divisors (10803793968000).

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

2870406000000 is a wasteful number, since it uses less digits than its factorization.

2870406000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 2870406000000 in words is "two trillion, eight hundred seventy billion, four hundred six million", and thus it is an aban number.