2074561216 has 168 divisors, whose sum is σ = 5206752096. Its totient is φ = 812851200.

The previous prime is 2074561211. The next prime is 2074561217. The reversal of 2074561216 is 6121654702.

It is not an unprimeable number, because it can be changed into a prime (2074561211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6155800 + ... + 6156136.

It is an arithmetic number, because the mean of its divisors is an integer number (30992572).

Almost surely, 2^2074561216 is an apocalyptic number.

2074561216 is a gapful number since it is divisible by the number (26) 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 2074561216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603376048).

2074561216 is an abundant number, since it is smaller than the sum of its proper divisors (3132190880).

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

2074561216 is a wasteful number, since it uses less digits than its factorization.

2074561216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 2074561216 is about 45547.3513609738. The cubic root of 2074561216 is about 1275.3872904709.

The spelling of 2074561216 in words is "two billion, seventy-four million, five hundred sixty-one thousand, two hundred sixteen".