2097826560 has 288 divisors, whose sum is σ = 7530586560. Its totient is φ = 552960000.

The previous prime is 2097826543. The next prime is 2097826561. The reversal of 2097826560 is 656287902.

2097826560 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 82 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2097826561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3490260 + ... + 3490860.

It is an arithmetic number, because the mean of its divisors is an integer number (26147870).

Almost surely, 2^2097826560 is an apocalyptic number.

2097826560 is a gapful number since it is divisible by the number (20) 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 2097826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765293280).

2097826560 is an abundant number, since it is smaller than the sum of its proper divisors (5432760000).

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

2097826560 is a wasteful number, since it uses less digits than its factorization.

2097826560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2097826560 is about 45802.0366359401. The cubic root of 2097826560 is about 1280.1372248714.

The spelling of 2097826560 in words is "two billion, ninety-seven million, eight hundred twenty-six thousand, five hundred sixty".