2245161600 has 576 divisors, whose sum is σ = 9224186400. Its totient is φ = 514252800.

The previous prime is 2245161587. The next prime is 2245161601. The reversal of 2245161600 is 61615422.

2245161600 is a `hidden beast` number, since 2 + 2 + 4 + 51 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2245161600² = 10081501220229120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2245161601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6019014 + ... + 6019386.

Almost surely, 2^2245161600 is an apocalyptic number.

2245161600 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 2245161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612093200).

2245161600 is an abundant number, since it is smaller than the sum of its proper divisors (6979024800).

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

2245161600 is a wasteful number, since it uses less digits than its factorization.

2245161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2245161600 is about 47383.1362406500. The cubic root of 2245161600 is about 1309.4307493119.

The spelling of 2245161600 in words is "two billion, two hundred forty-five million, one hundred sixty-one thousand, six hundred".