2254604083200 has 2016 divisors, whose sum is σ = 10306002695040. Its totient is φ = 458647142400.

The previous prime is 2254604083159. The next prime is 2254604083229. The reversal of 2254604083200 is 23804064522.

2254604083200 is a `hidden beast` number, since 2 + 2 + 5 + 46 + 0 + 408 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×2254604083200² (a number of 26 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4167474930 + ... + 4167475470.

Almost surely, 2^{2254604083200} is an apocalyptic number.

2254604083200 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 2254604083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153001347520).

2254604083200 is an abundant number, since it is smaller than the sum of its proper divisors (8051398611840).

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

2254604083200 is a wasteful number, since it uses less digits than its factorization.

2254604083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 2254604083200 in words is "two trillion, two hundred fifty-four billion, six hundred four million, eighty-three thousand, two hundred".