2048281600 has 264 divisors, whose sum is σ = 5482684800. Its totient is φ = 756940800.

The previous prime is 2048281597. The next prime is 2048281603. The reversal of 2048281600 is 61828402.

It is an interprime number because it is at equal distance from previous prime (2048281597) and next prime (2048281603).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (2048281603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23014356 + ... + 23014444.

Almost surely, 2^2048281600 is an apocalyptic number.

2048281600 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 2048281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741342400).

2048281600 is an abundant number, since it is smaller than the sum of its proper divisors (3434403200).

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

2048281600 is a wasteful number, since it uses less digits than its factorization.

2048281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 2048281600 is about 45257.9451588337. The cubic root of 2048281600 is about 1269.9790436123.

The spelling of 2048281600 in words is "two billion, forty-eight million, two hundred eighty-one thousand, six hundred".