2097446400 has 900 divisors, whose sum is σ = 9424342488. Its totient is φ = 451215360.

The previous prime is 2097446363. The next prime is 2097446413. The reversal of 2097446400 is 46447902.

2097446400 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 4 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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

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 89 ways as a sum of consecutive naturals, for example, 123379192 + ... + 123379208.

Almost surely, 2^2097446400 is an apocalyptic number.

2097446400 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 2097446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712171244).

2097446400 is an abundant number, since it is smaller than the sum of its proper divisors (7326896088).

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

2097446400 is an equidigital number, since it uses as much as digits as its factorization.

2097446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2097446400 is about 45797.8864141130. The cubic root of 2097446400 is about 1280.0598930308.

The spelling of 2097446400 in words is "two billion, ninety-seven million, four hundred forty-six thousand, four hundred".