2279986398144 has 1260 divisors, whose sum is σ = 8590431941784. Its totient is φ = 595891924992.

The previous prime is 2279986398143. The next prime is 2279986398169. The reversal of 2279986398144 is 4418936899722.

2279986398144 is a `hidden beast` number, since 2 + 2 + 7 + 9 + 98 + 6 + 398 + 144 = 666.

It is a super-3 number, since 3×2279986398144³ (a number of 38 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2279986398143) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 7426665639 + ... + 7426665945.

Almost surely, 2^{2279986398144} is an apocalyptic number.

2279986398144 is a gapful number since it is divisible by the number (24) 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 2279986398144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295215970892).

2279986398144 is an abundant number, since it is smaller than the sum of its proper divisors (6310445543640).

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

2279986398144 is a wasteful number, since it uses less digits than its factorization.

2279986398144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 505 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 2279986398144 in words is "two trillion, two hundred seventy-nine billion, nine hundred eighty-six million, three hundred ninety-eight thousand, one hundred forty-four".