2275736400 has 720 divisors, whose sum is σ = 9794512000. Its totient is φ = 487710720.

The previous prime is 2275736389. The next prime is 2275736417. The reversal of 2275736400 is 46375722.

It is a happy number.

2275736400 is a `hidden beast` number, since 2 + 2 + 7 + 5 + 7 + 3 + 640 + 0 = 666.

2275736400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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, 23461152 + ... + 23461248.

Almost surely, 2^2275736400 is an apocalyptic number.

2275736400 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 2275736400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897256000).

2275736400 is an abundant number, since it is smaller than the sum of its proper divisors (7518775600).

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

2275736400 is a wasteful number, since it uses less digits than its factorization.

2275736400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2275736400 is about 47704.6790157947. The cubic root of 2275736400 is about 1315.3479491954.

The spelling of 2275736400 in words is "two billion, two hundred seventy-five million, seven hundred thirty-six thousand, four hundred".