2075760000 has 480 divisors, whose sum is σ = 7910436600. Its totient is φ = 535680000.

The previous prime is 2075759981. The next prime is 2075760023. The reversal of 2075760000 is 675702.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2075760000 is a `hidden beast` number, since 2 + 0 + 7 + 57 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 59 ways as a sum of consecutive naturals, for example, 66959985 + ... + 66960015.

Almost surely, 2^2075760000 is an apocalyptic number.

2075760000 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 2075760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955218300).

2075760000 is an abundant number, since it is smaller than the sum of its proper divisors (5834676600).

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

2075760000 is an frugal number, since it uses more digits than its factorization.

2075760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 2075760000 is about 45560.5092157671. The cubic root of 2075760000 is about 1275.6329037708.

The spelling of 2075760000 in words is "two billion, seventy-five million, seven hundred sixty thousand".