2131645824 has 288 divisors, whose sum is σ = 7786457640. Its totient is φ = 553512960.

The previous prime is 2131645823. The next prime is 2131645871. The reversal of 2131645824 is 4285461312.

It is a happy number.

2131645824 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 645 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (2131645823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 619212 + ... + 622644.

Almost surely, 2^2131645824 is an apocalyptic number.

2131645824 is a gapful number since it is divisible by the number (24) 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 2131645824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893228820).

2131645824 is an abundant number, since it is smaller than the sum of its proper divisors (5654811816).

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

2131645824 is a wasteful number, since it uses less digits than its factorization.

2131645824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3456 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2131645824 is about 46169.7500967896. The cubic root of 2131645824 is about 1286.9796581966.

The spelling of 2131645824 in words is "two billion, one hundred thirty-one million, six hundred forty-five thousand, eight hundred twenty-four".