2270999666400 has 144 divisors (see below), whose sum is σ = 7395947129088. Its totient is φ = 605285056000.

The previous prime is 2270999666393. The next prime is 2270999666417. The reversal of 2270999666400 is 46669990722.

It is a super-2 number, since 2×2270999666400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 4389385 + ... + 4879415.

It is an arithmetic number, because the mean of its divisors is an integer number (51360743952).

Almost surely, 2^{2270999666400} is an apocalyptic number.

2270999666400 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 2270999666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697973564544).

2270999666400 is an abundant number, since it is smaller than the sum of its proper divisors (5124947462688).

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

2270999666400 is a wasteful number, since it uses less digits than its factorization.

2270999666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491985 (or 491972 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 2270999666400 in words is "two trillion, two hundred seventy billion, nine hundred ninety-nine million, six hundred sixty-six thousand, four hundred".