2276762400 has 864 divisors, whose sum is σ = 9871243200. Its totient is φ = 486604800.

The previous prime is 2276762399. The next prime is 2276762437. The reversal of 2276762400 is 42676722.

2276762400 is a `hidden beast` number, since 2 + 27 + 6 + 7 + 624 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25581556 + ... + 25581644.

It is an arithmetic number, because the mean of its divisors is an integer number (11425050).

Almost surely, 2^2276762400 is an apocalyptic number.

2276762400 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 2276762400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935621600).

2276762400 is an abundant number, since it is smaller than the sum of its proper divisors (7594480800).

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

2276762400 is a wasteful number, since it uses less digits than its factorization.

2276762400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2276762400 is about 47715.4314661410. The cubic root of 2276762400 is about 1315.5455913352.

The spelling of 2276762400 in words is "two billion, two hundred seventy-six million, seven hundred sixty-two thousand, four hundred".