2870586268032 has 128 divisors (see below), whose sum is σ = 8716192128000. Its totient is φ = 819987517440.

The previous prime is 2870586268001. The next prime is 2870586268129. The reversal of 2870586268032 is 2308626850782.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 12381657 + ... + 12611367.

It is an arithmetic number, because the mean of its divisors is an integer number (68095251000).

Almost surely, 2^{2870586268032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2870586268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358096064000).

2870586268032 is an abundant number, since it is smaller than the sum of its proper divisors (5845605859968).

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

2870586268032 is a wasteful number, since it uses less digits than its factorization.

2870586268032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234384 (or 234372 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 2870586268032 in words is "two trillion, eight hundred seventy billion, five hundred eighty-six million, two hundred sixty-eight thousand, thirty-two".