2274323365440 has 1680 divisors, whose sum is σ = 10040133945600. Its totient is φ = 485843484672.

The previous prime is 2274323365373. The next prime is 2274323365463. The reversal of 2274323365440 is 445633234722.

2274323365440 is a `hidden beast` number, since 2 + 2 + 74 + 3 + 2 + 3 + 36 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-3 number, since 3×2274323365440³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1906389484 + ... + 1906390676.

Almost surely, 2^{2274323365440} is an apocalyptic number.

2274323365440 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 2274323365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020066972800).

2274323365440 is an abundant number, since it is smaller than the sum of its proper divisors (7765810580160).

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

2274323365440 is a wasteful number, since it uses less digits than its factorization.

2274323365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 45.

The spelling of 2274323365440 in words is "two trillion, two hundred seventy-four billion, three hundred twenty-three million, three hundred sixty-five thousand, four hundred forty".