2074048416 has 360 divisors, whose sum is σ = 7117290180. Its totient is φ = 590008320.

The previous prime is 2074048367. The next prime is 2074048423. The reversal of 2074048416 is 6148404702.

2074048416 is a `hidden beast` number, since 207 + 404 + 8 + 41 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2073891600 + 156816 = 45540^2 + 396^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5331550 + ... + 5331938.

Almost surely, 2^2074048416 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 2074048416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558645090).

2074048416 is an abundant number, since it is smaller than the sum of its proper divisors (5043241764).

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

2074048416 is a wasteful number, since it uses less digits than its factorization.

2074048416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2074048416 is about 45541.7217065846. The cubic root of 2074048416 is about 1275.2821963603.

The spelling of 2074048416 in words is "two billion, seventy-four million, forty-eight thousand, four hundred sixteen".