2088672768 has 480 divisors, whose sum is σ = 7882370496. Its totient is φ = 516685824.

The previous prime is 2088672763. The next prime is 2088672811. The reversal of 2088672768 is 8672768802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2088672763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7128430 + ... + 7128722.

Almost surely, 2^2088672768 is an apocalyptic number.

2088672768 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 2088672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941185248).

2088672768 is an abundant number, since it is smaller than the sum of its proper divisors (5793697728).

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

2088672768 is a wasteful number, since it uses less digits than its factorization.

2088672768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 2088672768 is about 45701.9996061441. Note that the first 3 decimals coincide. The cubic root of 2088672768 is about 1278.2725656090.

The spelling of 2088672768 in words is "two billion, eighty-eight million, six hundred seventy-two thousand, seven hundred sixty-eight".