2083019452416 has 520 divisors, whose sum is σ = 7142722897024. Its totient is φ = 594987171840.

The previous prime is 2083019452403. The next prime is 2083019452433. The reversal of 2083019452416 is 6142549103802.

2083019452416 is a `hidden beast` number, since 2 + 0 + 8 + 30 + 1 + 94 + 524 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 564349131 + ... + 564352821.

Almost surely, 2^{2083019452416} 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 2083019452416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571361448512).

2083019452416 is an abundant number, since it is smaller than the sum of its proper divisors (5059703444608).

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

2083019452416 is an frugal number, since it uses more digits than its factorization.

2083019452416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2083019452416 in words is "two trillion, eighty-three billion, nineteen million, four hundred fifty-two thousand, four hundred sixteen".