2131735680 has 192 divisors, whose sum is σ = 7681677120. Its totient is φ = 543713280.

The previous prime is 2131735651. The next prime is 2131735693. The reversal of 2131735680 is 865371312.

2131735680 is a `hidden beast` number, since 21 + 3 + 1 + 73 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124435 + ... + 140525.

It is an arithmetic number, because the mean of its divisors is an integer number (40008735).

Almost surely, 2^2131735680 is an apocalyptic number.

2131735680 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 2131735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840838560).

2131735680 is an abundant number, since it is smaller than the sum of its proper divisors (5549941440).

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

2131735680 is a wasteful number, since it uses less digits than its factorization.

2131735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16139 (or 16124 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2131735680 is about 46170.7231912172. The cubic root of 2131735680 is about 1286.9977414413.

The spelling of 2131735680 in words is "two billion, one hundred thirty-one million, seven hundred thirty-five thousand, six hundred eighty".