2092906816 has 252 divisors, whose sum is σ = 5722863840. Its totient is φ = 750597120.

The previous prime is 2092906811. The next prime is 2092906817. The reversal of 2092906816 is 6186092902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2092906811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5829645 + ... + 5830003.

Almost surely, 2^2092906816 is an apocalyptic number.

2092906816 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 2092906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861431920).

2092906816 is an abundant number, since it is smaller than the sum of its proper divisors (3629957024).

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

2092906816 is a wasteful number, since it uses less digits than its factorization.

2092906816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 2092906816 is about 45748.2985038788. The cubic root of 2092906816 is about 1279.1357316732.

It can be divided in two parts, 209 and 2906816, that added together give a square (2907025 = 1705²).

The spelling of 2092906816 in words is "two billion, ninety-two million, nine hundred six thousand, eight hundred sixteen".