2279862538800 has 960 divisors, whose sum is σ = 9655439155200. Its totient is φ = 445481164800.

The previous prime is 2279862538747. The next prime is 2279862538823. The reversal of 2279862538800 is 88352689722.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 240512461 + ... + 240521939.

It is an arithmetic number, because the mean of its divisors is an integer number (10057749120).

Almost surely, 2^{2279862538800} is an apocalyptic number.

2279862538800 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 2279862538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4827719577600).

2279862538800 is an abundant number, since it is smaller than the sum of its proper divisors (7375576616400).

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

2279862538800 is a wasteful number, since it uses less digits than its factorization.

2279862538800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9674 (or 9663 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 2279862538800 in words is "two trillion, two hundred seventy-nine billion, eight hundred sixty-two million, five hundred thirty-eight thousand, eight hundred".