2048749440 has 64 divisors (see below), whose sum is σ = 6530394960. Its totient is φ = 546332672.

The previous prime is 2048749433. The next prime is 2048749447. The reversal of 2048749440 is 449478402.

It is a happy number.

2048749440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2048749433) and next prime (2048749447).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2048749392 and 2048749401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048749447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531609 + ... + 535448.

Almost surely, 2^2048749440 is an apocalyptic number.

2048749440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2048749440 is an abundant number, since it is smaller than the sum of its proper divisors (4481645520).

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

2048749440 is a wasteful number, since it uses less digits than its factorization.

2048749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067079 (or 1067067 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2048749440 is about 45263.1134589745. The cubic root of 2048749440 is about 1270.0757265693.

The spelling of 2048749440 in words is "two billion, forty-eight million, seven hundred forty-nine thousand, four hundred forty".