2048444640 has 240 divisors, whose sum is σ = 7887060720. Its totient is φ = 496558080.

The previous prime is 2048444633. The next prime is 2048444689. The reversal of 2048444640 is 464448402.

2048444640 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 4 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2048444640² = 8392250886289459200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2048444595 and 2048444604.

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 39 ways as a sum of consecutive naturals, for example, 135376 + ... + 149744.

It is an arithmetic number, because the mean of its divisors is an integer number (32862753).

Almost surely, 2^2048444640 is an apocalyptic number.

2048444640 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 2048444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943530360).

2048444640 is an abundant number, since it is smaller than the sum of its proper divisors (5838616080).

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

2048444640 is a wasteful number, since it uses less digits than its factorization.

2048444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14407 (or 14390 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 2048444640 is about 45259.7463536861. The cubic root of 2048444640 is about 1270.0127388310.

The spelling of 2048444640 in words is "two billion, forty-eight million, four hundred forty-four thousand, six hundred forty".