2781870448896 has 2160 divisors, whose sum is σ = 11199028579200. Its totient is φ = 680356454400.

The previous prime is 2781870448879. The next prime is 2781870448897. The reversal of 2781870448896 is 6988440781872.

2781870448896 is a `hidden beast` number, since 2 + 78 + 1 + 8 + 70 + 4 + 488 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2781870448897) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 75185687790 + ... + 75185687826.

Almost surely, 2^{2781870448896} 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 2781870448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599514289600).

2781870448896 is an abundant number, since it is smaller than the sum of its proper divisors (8417158130304).

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

2781870448896 is an equidigital number, since it uses as much as digits as its factorization.

2781870448896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 2781870448896 in words is "two trillion, seven hundred eighty-one billion, eight hundred seventy million, four hundred forty-eight thousand, eight hundred ninety-six".