2270376000 has 448 divisors, whose sum is σ = 8710940160. Its totient is φ = 577843200.

The previous prime is 2270375971. The next prime is 2270376007. The reversal of 2270376000 is 6730722.

2270376000 is a `hidden beast` number, since 2 + 27 + 0 + 37 + 600 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2270376007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4967772 + ... + 4968228.

Almost surely, 2^2270376000 is an apocalyptic number.

2270376000 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 2270376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355470080).

2270376000 is an abundant number, since it is smaller than the sum of its proper divisors (6440564160).

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

2270376000 is a wasteful number, since it uses less digits than its factorization.

2270376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 2270376000 is about 47648.4627244154. The cubic root of 2270376000 is about 1314.3143886084.

The spelling of 2270376000 in words is "two billion, two hundred seventy million, three hundred seventy-six thousand".