2270268000 has 1440 divisors, whose sum is σ = 11387664288. Its totient is φ = 435456000.

The previous prime is 2270267983. The next prime is 2270268017. The reversal of 2270268000 is 8620722.

It is an interprime number because it is at equal distance from previous prime (2270267983) and next prime (2270268017).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 174635994 + ... + 174636006.

Almost surely, 2^2270268000 is an apocalyptic number.

2270268000 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 2270268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5693832144).

2270268000 is an abundant number, since it is smaller than the sum of its proper divisors (9117396288).

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

2270268000 is a wasteful number, since it uses less digits than its factorization.

2270268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2270268000 is about 47647.3294109964. The cubic root of 2270268000 is about 1314.2935479774.

Adding to 2270268000 its reverse (8620722), we get a palindrome (2278888722).

The spelling of 2270268000 in words is "two billion, two hundred seventy million, two hundred sixty-eight thousand".