2145724416 has 288 divisors, whose sum is σ = 7129231200. Its totient is φ = 614891520.

The previous prime is 2145724403. The next prime is 2145724421. The reversal of 2145724416 is 6144275412.

2145724416 is a `hidden beast` number, since 2 + 145 + 72 + 441 + 6 = 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3852010 + ... + 3852566.

It is an arithmetic number, because the mean of its divisors is an integer number (24754275).

Almost surely, 2^2145724416 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 2145724416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564615600).

2145724416 is an abundant number, since it is smaller than the sum of its proper divisors (4983506784).

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

2145724416 is a wasteful number, since it uses less digits than its factorization.

2145724416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 592 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2145724416 is about 46321.9647251711. The cubic root of 2145724416 is about 1289.8067567033.

Adding to 2145724416 its reverse (6144275412), we get a palindrome (8289999828).

The spelling of 2145724416 in words is "two billion, one hundred forty-five million, seven hundred twenty-four thousand, four hundred sixteen".