2100724416 has 112 divisors (see below), whose sum is σ = 7058030080. Its totient is φ = 600203520.

The previous prime is 2100724411. The next prime is 2100724433. The reversal of 2100724416 is 6144270012.

2100724416 is a `hidden beast` number, since 210 + 0 + 7 + 2 + 441 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2100724416.

It is not an unprimeable number, because it can be changed into a prime (2100724411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74740 + ... + 98931.

Almost surely, 2^2100724416 is an apocalyptic number.

It is an amenable number.

2100724416 is an abundant number, since it is smaller than the sum of its proper divisors (4957305664).

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

2100724416 is a wasteful number, since it uses less digits than its factorization.

2100724416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173699 (or 173683 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2100724416 is about 45833.6602945914. The cubic root of 2100724416 is about 1280.7263975886.

Adding to 2100724416 its reverse (6144270012), we get a palindrome (8244994428).

The spelling of 2100724416 in words is "two billion, one hundred million, seven hundred twenty-four thousand, four hundred sixteen".