2075347680 has 192 divisors, whose sum is σ = 7491875328. Its totient is φ = 473057280.

The previous prime is 2075347627. The next prime is 2075347693. The reversal of 2075347680 is 867435702.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1756690 + ... + 1757870.

It is an arithmetic number, because the mean of its divisors is an integer number (39020184).

Almost surely, 2^2075347680 is an apocalyptic number.

2075347680 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 2075347680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745937664).

2075347680 is an abundant number, since it is smaller than the sum of its proper divisors (5416527648).

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

2075347680 is a wasteful number, since it uses less digits than its factorization.

2075347680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 2075347680 is about 45555.9840196653. The cubic root of 2075347680 is about 1275.5484361078.

The spelling of 2075347680 in words is "two billion, seventy-five million, three hundred forty-seven thousand, six hundred eighty".