2878886112960 has 448 divisors, whose sum is σ = 10745908830720. Its totient is φ = 643778641920.

The previous prime is 2878886112923. The next prime is 2878886112961. The reversal of 2878886112960 is 692116888782.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 2878886112891 and 2878886112900.

It is not an unprimeable number, because it can be changed into a prime (2878886112961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222249844 + ... + 222262796.

It is an arithmetic number, because the mean of its divisors is an integer number (23986403640).

Almost surely, 2^{2878886112960} is an apocalyptic number.

2878886112960 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 2878886112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372954415360).

2878886112960 is an abundant number, since it is smaller than the sum of its proper divisors (7867022717760).

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

2878886112960 is a wasteful number, since it uses less digits than its factorization.

2878886112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14616 (or 14606 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 66.

The spelling of 2878886112960 in words is "two trillion, eight hundred seventy-eight billion, eight hundred eighty-six million, one hundred twelve thousand, nine hundred sixty".