2183126400 has 1152 divisors, whose sum is σ = 10358712000. Its totient is φ = 433520640.

The previous prime is 2183126399. The next prime is 2183126461. The reversal of 2183126400 is 46213812.

2183126400 is a `hidden beast` number, since 2 + 1 + 8 + 3 + 12 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 128419192 + ... + 128419208.

Almost surely, 2^2183126400 is an apocalyptic number.

2183126400 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 2183126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179356000).

2183126400 is an abundant number, since it is smaller than the sum of its proper divisors (8175585600).

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

2183126400 is a wasteful number, since it uses less digits than its factorization.

2183126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2183126400 is about 46723.9381901826. The cubic root of 2183126400 is about 1297.2578094963.

The spelling of 2183126400 in words is "two billion, one hundred eighty-three million, one hundred twenty-six thousand, four hundred".