2297166480000 has 2240 divisors, whose sum is σ = 10406674048320. Its totient is φ = 492687360000.

The previous prime is 2297166479999. The next prime is 2297166480001. The reversal of 2297166480000 is 846617922.

It is a happy number.

2297166480000 is a `hidden beast` number, since 2 + 2 + 9 + 7 + 166 + 480 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2297166479999) and next prime (2297166480001).

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is not an unprimeable number, because it can be changed into a prime (2297166480001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 6940079835 + ... + 6940080165.

Almost surely, 2^{2297166480000} is an apocalyptic number.

2297166480000 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 2297166480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5203337024160).

2297166480000 is an abundant number, since it is smaller than the sum of its proper divisors (8109507568320).

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

2297166480000 is an frugal number, since it uses more digits than its factorization.

2297166480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2297166480000 in words is "two trillion, two hundred ninety-seven billion, one hundred sixty-six million, four hundred eighty thousand".