2354082816 has 176 divisors, whose sum is σ = 6536775168. Its totient is φ = 752640000.

The previous prime is 2354082811. The next prime is 2354082847. The reversal of 2354082816 is 6182804532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2354082811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9378691 + ... + 9378941.

It is an arithmetic number, because the mean of its divisors is an integer number (37140768).

Almost surely, 2^2354082816 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 2354082816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268387584).

2354082816 is an abundant number, since it is smaller than the sum of its proper divisors (4182692352).

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

2354082816 is a wasteful number, since it uses less digits than its factorization.

2354082816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2354082816 is about 48518.8913311094. The cubic root of 2354082816 is about 1330.2723952598.

The spelling of 2354082816 in words is "two billion, three hundred fifty-four million, eighty-two thousand, eight hundred sixteen".