2131680528 has 240 divisors, whose sum is σ = 6651240960. Its totient is φ = 634521600.

The previous prime is 2131680493. The next prime is 2131680587. The reversal of 2131680528 is 8250861312.

It is a happy number.

2131680528 is a `hidden beast` number, since 21 + 31 + 6 + 80 + 528 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2131680492 and 2131680501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3477150 + ... + 3477762.

It is an arithmetic number, because the mean of its divisors is an integer number (27713504).

Almost surely, 2^2131680528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131680528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325620480).

2131680528 is an abundant number, since it is smaller than the sum of its proper divisors (4519560432).

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

2131680528 is a wasteful number, since it uses less digits than its factorization.

2131680528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2131680528 is about 46170.1259257542. The cubic root of 2131680528 is about 1286.9866423305.

The spelling of 2131680528 in words is "two billion, one hundred thirty-one million, six hundred eighty thousand, five hundred twenty-eight".