2273999606784 has 264 divisors, whose sum is σ = 7140287150568. Its totient is φ = 694128476160.

The previous prime is 2273999606773. The next prime is 2273999606831. The reversal of 2273999606784 is 4876069993722.

2273999606784 is a `hidden beast` number, since 2 + 2 + 7 + 3 + 9 + 9 + 9 + 606 + 7 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 637646966784 + 1636352640000 = 798528^2 + 1279200^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5600724 + ... + 5993004.

It is an arithmetic number, because the mean of its divisors is an integer number (27046542237).

Almost surely, 2^{2273999606784} is an apocalyptic number.

2273999606784 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 2273999606784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570143575284).

2273999606784 is an abundant number, since it is smaller than the sum of its proper divisors (4866287543784).

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

2273999606784 is a wasteful number, since it uses less digits than its factorization.

2273999606784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392361 (or 392340 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 2273999606784 in words is "two trillion, two hundred seventy-three billion, nine hundred ninety-nine million, six hundred six thousand, seven hundred eighty-four".