2097826416 has 120 divisors (see below), whose sum is σ = 6846808800. Its totient is φ = 599364864.

The previous prime is 2097826399. The next prime is 2097826429. The reversal of 2097826416 is 6146287902.

It is a happy number.

2097826416 is a `hidden beast` number, since 209 + 7 + 8 + 26 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28156 + ... + 70628.

It is an arithmetic number, because the mean of its divisors is an integer number (57056740).

Almost surely, 2^2097826416 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 2097826416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423404400).

2097826416 is an abundant number, since it is smaller than the sum of its proper divisors (4748982384).

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

2097826416 is a wasteful number, since it uses less digits than its factorization.

2097826416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42508 (or 42485 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2097826416 is about 45802.0350639576. The cubic root of 2097826416 is about 1280.1371955808.

The spelling of 2097826416 in words is "two billion, ninety-seven million, eight hundred twenty-six thousand, four hundred sixteen".