2049024960 has 168 divisors, whose sum is σ = 7462546416. Its totient is φ = 514252800.

The previous prime is 2049024947. The next prime is 2049025003. The reversal of 2049024960 is 694209402.

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 23 ways as a sum of consecutive naturals, for example, 28035 + ... + 69885.

Almost surely, 2^2049024960 is an apocalyptic number.

2049024960 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 2049024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731273208).

2049024960 is an abundant number, since it is smaller than the sum of its proper divisors (5413521456).

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

2049024960 is a wasteful number, since it uses less digits than its factorization.

2049024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41891 (or 41878 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2049024960 is about 45266.1568945277. The cubic root of 2049024960 is about 1270.1326581414.

The spelling of 2049024960 in words is "two billion, forty-nine million, twenty-four thousand, nine hundred sixty".