2279381824512 has 1760 divisors, whose sum is σ = 8264582036480. Its totient is φ = 619173642240.

The previous prime is 2279381824507. The next prime is 2279381824519. The reversal of 2279381824512 is 2154281839722.

It is a happy number.

2279381824512 is a `hidden beast` number, since 2 + 2 + 7 + 9 + 3 + 8 + 182 + 451 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2279381824519) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23498781648 + ... + 23498781744.

It is an arithmetic number, because the mean of its divisors is an integer number (4695785248).

Almost surely, 2^{2279381824512} 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 2279381824512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132291018240).

2279381824512 is an abundant number, since it is smaller than the sum of its proper divisors (5985200211968).

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

2279381824512 is a wasteful number, since it uses less digits than its factorization.

2279381824512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 202 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 2279381824512 in words is "two trillion, two hundred seventy-nine billion, three hundred eighty-one million, eight hundred twenty-four thousand, five hundred twelve".