2049868800 has 792 divisors, whose sum is σ = 8869765632. Its totient is φ = 442368000.

The previous prime is 2049868753. The next prime is 2049868811. The reversal of 2049868800 is 88689402.

It is a happy number.

2049868800 is a `hidden beast` number, since 20 + 498 + 68 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 49996780 + ... + 49996820.

Almost surely, 2^2049868800 is an apocalyptic number.

2049868800 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 2049868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434882816).

2049868800 is an abundant number, since it is smaller than the sum of its proper divisors (6819896832).

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

2049868800 is a wasteful number, since it uses less digits than its factorization.

2049868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2049868800 is about 45275.4768058825. The cubic root of 2049868800 is about 1270.3069917337.

It can be divided in two parts, 20498 and 68800, that added together give a palindrome (89298).

The spelling of 2049868800 in words is "two billion, forty-nine million, eight hundred sixty-eight thousand, eight hundred".