2068540416 has 308 divisors, whose sum is σ = 6604719192. Its totient is φ = 644972544.

The previous prime is 2068540387. The next prime is 2068540427. The reversal of 2068540416 is 6140458602.

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 27 ways as a sum of consecutive naturals, for example, 12690351 + ... + 12690513.

Almost surely, 2^2068540416 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 2068540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302359596).

2068540416 is an abundant number, since it is smaller than the sum of its proper divisors (4536178776).

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

2068540416 is an equidigital number, since it uses as much as digits as its factorization.

2068540416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 185 counting only the distinct ones).

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

The square root of 2068540416 is about 45481.2094825984. The cubic root of 2068540416 is about 1274.1522835577.

The spelling of 2068540416 in words is "two billion, sixty-eight million, five hundred forty thousand, four hundred sixteen".