2049122880 has 448 divisors, whose sum is σ = 8751905280. Its totient is φ = 440598528.

The previous prime is 2049122851. The next prime is 2049122939. The reversal of 2049122880 is 882219402.

It is a tau number, because it is divible by the number of its divisors (448).

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

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 63 ways as a sum of consecutive naturals, for example, 1027164 + ... + 1029156.

Almost surely, 2^2049122880 is an apocalyptic number.

2049122880 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 2049122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375952640).

2049122880 is an abundant number, since it is smaller than the sum of its proper divisors (6702782400).

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

2049122880 is a wasteful number, since it uses less digits than its factorization.

2049122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2049122880 is about 45267.2384843609. The cubic root of 2049122880 is about 1270.1528904325.

The spelling of 2049122880 in words is "two billion, forty-nine million, one hundred twenty-two thousand, eight hundred eighty".