2071448640 has 336 divisors, whose sum is σ = 7828434432. Its totient is φ = 519561216.

The previous prime is 2071448633. The next prime is 2071448689. The reversal of 2071448640 is 468441702.

2071448640 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 4 + 4 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2071448595 and 2071448604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1321137 + ... + 1322703.

It is an arithmetic number, because the mean of its divisors is an integer number (23298912).

Almost surely, 2^2071448640 is an apocalyptic number.

2071448640 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 2071448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914217216).

2071448640 is an abundant number, since it is smaller than the sum of its proper divisors (5756985792).

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

2071448640 is a wasteful number, since it uses less digits than its factorization.

2071448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2071448640 is about 45513.1699621110. The cubic root of 2071448640 is about 1274.7491271113.

The spelling of 2071448640 in words is "two billion, seventy-one million, four hundred forty-eight thousand, six hundred forty".