2276601600 has 432 divisors, whose sum is σ = 9254185472. Its totient is φ = 479969280.

The previous prime is 2276601599. The next prime is 2276601637. The reversal of 2276601600 is 61066722.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1746549 + ... + 1747851.

Almost surely, 2^2276601600 is an apocalyptic number.

2276601600 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 2276601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627092736).

2276601600 is an abundant number, since it is smaller than the sum of its proper divisors (6977583872).

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

2276601600 is a wasteful number, since it uses less digits than its factorization.

2276601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2276601600 is about 47713.7464469098. The cubic root of 2276601600 is about 1315.5146197662.

The spelling of 2276601600 in words is "two billion, two hundred seventy-six million, six hundred one thousand, six hundred".