2131734528 has 312 divisors, whose sum is σ = 7687220736. Its totient is φ = 552960000.

The previous prime is 2131734481. The next prime is 2131734551. The reversal of 2131734528 is 8254371312.

2131734528 is a `hidden beast` number, since 2 + 131 + 73 + 452 + 8 = 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 = 2131734492 and 2131734501.

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, 2838153 + ... + 2838903.

It is an arithmetic number, because the mean of its divisors is an integer number (24638528).

Almost surely, 2^2131734528 is an apocalyptic number.

2131734528 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 2131734528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843610368).

2131734528 is an abundant number, since it is smaller than the sum of its proper divisors (5555486208).

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

2131734528 is a wasteful number, since it uses less digits than its factorization.

2131734528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 774 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2131734528 is about 46170.7107157774. The cubic root of 2131734528 is about 1286.9975096081.

The spelling of 2131734528 in words is "two billion, one hundred thirty-one million, seven hundred thirty-four thousand, five hundred twenty-eight".