2048577440 has 288 divisors, whose sum is σ = 6109447680. Its totient is φ = 635461632.

The previous prime is 2048577439. The next prime is 2048577449. The reversal of 2048577440 is 447758402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2048577449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14953052 + ... + 14953188.

It is an arithmetic number, because the mean of its divisors is an integer number (21213360).

Almost surely, 2^2048577440 is an apocalyptic number.

2048577440 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 2048577440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054723840).

2048577440 is an abundant number, since it is smaller than the sum of its proper divisors (4060870240).

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

2048577440 is a wasteful number, since it uses less digits than its factorization.

2048577440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 41.

The square root of 2048577440 is about 45261.2134172295. The cubic root of 2048577440 is about 1270.0401830756.

The spelling of 2048577440 in words is "two billion, forty-eight million, five hundred seventy-seven thousand, four hundred forty".