2083378752 has 224 divisors, whose sum is σ = 7538720000. Its totient is φ = 549421056.

The previous prime is 2083378727. The next prime is 2083378769. The reversal of 2083378752 is 2578733802.

2083378752 is a `hidden beast` number, since 208 + 3 + 378 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 2083378698 and 2083378707.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150624 + ... + 163872.

It is an arithmetic number, because the mean of its divisors is an integer number (33655000).

Almost surely, 2^2083378752 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 2083378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769360000).

2083378752 is an abundant number, since it is smaller than the sum of its proper divisors (5455341248).

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

2083378752 is a wasteful number, since it uses less digits than its factorization.

2083378752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13290 (or 13274 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2083378752 is about 45644.0439926175. The cubic root of 2083378752 is about 1277.1916685225.

The spelling of 2083378752 in words is "two billion, eighty-three million, three hundred seventy-eight thousand, seven hundred fifty-two".