2075516688 has 120 divisors (see below), whose sum is σ = 6406270528. Its totient is φ = 567173376.

The previous prime is 2075516671. The next prime is 2075516759. The reversal of 2075516688 is 8866155702.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171906 + ... + 183582.

Almost surely, 2^2075516688 is an apocalyptic number.

2075516688 is a gapful number since it is divisible by the number (28) 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 2075516688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203135264).

2075516688 is an abundant number, since it is smaller than the sum of its proper divisors (4330753840).

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

2075516688 is a wasteful number, since it uses less digits than its factorization.

2075516688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11741 (or 11712 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 2075516688 is about 45557.8389303092. The cubic root of 2075516688 is about 1275.5830603526.

The spelling of 2075516688 in words is "two billion, seventy-five million, five hundred sixteen thousand, six hundred eighty-eight".