2275385400 has 576 divisors, whose sum is σ = 8743101120. Its totient is φ = 527155200.

The previous prime is 2275385389. The next prime is 2275385419. The reversal of 2275385400 is 45835722.

2275385400 is a `hidden beast` number, since 2 + 275 + 385 + 4 + 0 + 0 = 666.

It is a Cunningham number, because it is equal to 47701²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37301370 + ... + 37301430.

It is an arithmetic number, because the mean of its divisors is an integer number (15178995).

Almost surely, 2^2275385400 is an apocalyptic number.

2275385400 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 2275385400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371550560).

2275385400 is an abundant number, since it is smaller than the sum of its proper divisors (6467715720).

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

2275385400 is a wasteful number, since it uses less digits than its factorization.

2275385400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2275385400 is about 47700.9999895180. Note that the first 4 decimals coincide. The cubic root of 2275385400 is about 1315.2803211420.

The spelling of 2275385400 in words is "two billion, two hundred seventy-five million, three hundred eighty-five thousand, four hundred".