2267416009440 has 576 divisors, whose sum is σ = 8612709932736. Its totient is φ = 561269440512.

The previous prime is 2267416009429. The next prime is 2267416009451. The reversal of 2267416009440 is 449006147622.

2267416009440 is a `hidden beast` number, since 226 + 7 + 416 + 0 + 0 + 9 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2267416009429) and next prime (2267416009451).

It is a super-2 number, since 2×2267416009440² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48226584 + ... + 48273576.

It is an arithmetic number, because the mean of its divisors is an integer number (14952621411).

Almost surely, 2^{2267416009440} is an apocalyptic number.

2267416009440 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 2267416009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306354966368).

2267416009440 is an abundant number, since it is smaller than the sum of its proper divisors (6345293923296).

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

2267416009440 is a wasteful number, since it uses less digits than its factorization.

2267416009440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47113 (or 47093 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2267416009440 in words is "two trillion, two hundred sixty-seven billion, four hundred sixteen million, nine thousand, four hundred forty".