2048419296 has 288 divisors, whose sum is σ = 7370528256. Its totient is φ = 524160000.

The previous prime is 2048419291. The next prime is 2048419319. The reversal of 2048419296 is 6929148402.

2048419296 is a `hidden beast` number, since 204 + 8 + 419 + 29 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2048419296² = 8392043224450271232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048419291) 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, 1573846 + ... + 1575146.

It is an arithmetic number, because the mean of its divisors is an integer number (25592112).

Almost surely, 2^2048419296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048419296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685264128).

2048419296 is an abundant number, since it is smaller than the sum of its proper divisors (5322108960).

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

2048419296 is a wasteful number, since it uses less digits than its factorization.

2048419296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2048419296 is about 45259.4663689266. The cubic root of 2048419296 is about 1270.0075011440.

The spelling of 2048419296 in words is "two billion, forty-eight million, four hundred nineteen thousand, two hundred ninety-six".