2849126400 has 432 divisors, whose sum is σ = 10627835400. Its totient is φ = 756449280.

The previous prime is 2849126383. The next prime is 2849126419. The reversal of 2849126400 is 46219482.

2849126400 is a `hidden beast` number, since 2 + 8 + 4 + 9 + 1 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12441486 + ... + 12441714.

Almost surely, 2^2849126400 is an apocalyptic number.

2849126400 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 2849126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313917700).

2849126400 is an abundant number, since it is smaller than the sum of its proper divisors (7778709000).

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

2849126400 is an equidigital number, since it uses as much as digits as its factorization.

2849126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2849126400 is about 53377.2086194098. The cubic root of 2849126400 is about 1417.6550598830.

The spelling of 2849126400 in words is "two billion, eight hundred forty-nine million, one hundred twenty-six thousand, four hundred".