2048744000 has 56 divisors (see below), whose sum is σ = 5073734328. Its totient is φ = 819494400.

The previous prime is 2048743999. The next prime is 2048744059. The reversal of 2048744000 is 4478402.

It can be written as a sum of positive squares in 4 ways, for example, as 582160384 + 1466583616 = 24128^2 + 38296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120047 + ... + 136046.

Almost surely, 2^2048744000 is an apocalyptic number.

2048744000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2048744000 is an abundant number, since it is smaller than the sum of its proper divisors (3024990328).

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

2048744000 is an equidigital number, since it uses as much as digits as its factorization.

2048744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256120 (or 256100 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 2048744000 is about 45263.0533658524. The cubic root of 2048744000 is about 1270.0746024335.

The spelling of 2048744000 in words is "two billion, forty-eight million, seven hundred forty-four thousand".