2270654400 has 168 divisors, whose sum is σ = 8513998720. Its totient is φ = 518999040.

The previous prime is 2270654389. The next prime is 2270654417. The reversal of 2270654400 is 44560722.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 190 + ... + 67389.

Almost surely, 2^2270654400 is an apocalyptic number.

2270654400 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 2270654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256999360).

2270654400 is an abundant number, since it is smaller than the sum of its proper divisors (6243344320).

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

2270654400 is a wasteful number, since it uses less digits than its factorization.

2270654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67611 (or 67596 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2270654400 is about 47651.3840302672. The cubic root of 2270654400 is about 1314.3681080761.

The spelling of 2270654400 in words is "two billion, two hundred seventy million, six hundred fifty-four thousand, four hundred".