2275862400 has 768 divisors, whose sum is σ = 9835084800. Its totient is φ = 503193600.

The previous prime is 2275862371. The next prime is 2275862467. The reversal of 2275862400 is 42685722.

2275862400 is a `hidden beast` number, since 2 + 27 + 5 + 8 + 624 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 32054365 + ... + 32054435.

It is an arithmetic number, because the mean of its divisors is an integer number (12806100).

Almost surely, 2^2275862400 is an apocalyptic number.

2275862400 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 2275862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917542400).

2275862400 is an abundant number, since it is smaller than the sum of its proper divisors (7559222400).

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

2275862400 is a wasteful number, since it uses less digits than its factorization.

2275862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2275862400 is about 47705.9996226890. Note that the first 3 decimals coincide. The cubic root of 2275862400 is about 1315.3722242363.

Adding to 2275862400 its sum of digits (36), we get a square (2275862436 = 47706²).

It can be divided in two parts, 22758 and 62400, that added together give a palindrome (85158).

The spelling of 2275862400 in words is "two billion, two hundred seventy-five million, eight hundred sixty-two thousand, four hundred".