2063305440 has 576 divisors, whose sum is σ = 8648156160. Its totient is φ = 449971200.

The previous prime is 2063305417. The next prime is 2063305457. The reversal of 2063305440 is 445033602.

2063305440 is a `hidden beast` number, since 20 + 633 + 0 + 5 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29060605 + ... + 29060675.

It is an arithmetic number, because the mean of its divisors is an integer number (15014160).

Almost surely, 2^2063305440 is an apocalyptic number.

2063305440 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 2063305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324078080).

2063305440 is an abundant number, since it is smaller than the sum of its proper divisors (6584850720).

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

2063305440 is a wasteful number, since it uses less digits than its factorization.

2063305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2063305440 is about 45423.6220484452. The cubic root of 2063305440 is about 1273.0765183548.

The spelling of 2063305440 in words is "two billion, sixty-three million, three hundred five thousand, four hundred forty".