2128613760 has 768 divisors, whose sum is σ = 9409720320. Its totient is φ = 431308800.

The previous prime is 2128613743. The next prime is 2128613761. The reversal of 2128613760 is 673168212.

2128613760 is a `hidden beast` number, since 2 + 1 + 286 + 1 + 376 + 0 = 666.

It is a super-2 number, since 2×2128613760² = 9061993078522675200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128613761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16248895 + ... + 16249025.

It is an arithmetic number, because the mean of its divisors is an integer number (12252240).

Almost surely, 2^2128613760 is an apocalyptic number.

2128613760 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 2128613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704860160).

2128613760 is an abundant number, since it is smaller than the sum of its proper divisors (7281106560).

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

2128613760 is a wasteful number, since it uses less digits than its factorization.

2128613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2128613760 is about 46136.9023667606. The cubic root of 2128613760 is about 1286.3691664845.

The spelling of 2128613760 in words is "two billion, one hundred twenty-eight million, six hundred thirteen thousand, seven hundred sixty".