2097158400 has 324 divisors, whose sum is σ = 7828748928. Its totient is φ = 534589440.

The previous prime is 2097158389. The next prime is 2097158449. The reversal of 2097158400 is 48517902.

2097158400 is a `hidden beast` number, since 2 + 0 + 9 + 71 + 584 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1324009 + ... + 1325591.

Almost surely, 2^2097158400 is an apocalyptic number.

2097158400 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 2097158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914374464).

2097158400 is an abundant number, since it is smaller than the sum of its proper divisors (5731590528).

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

2097158400 is a wasteful number, since it uses less digits than its factorization.

2097158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2097158400 is about 45794.7420562667. The cubic root of 2097158400 is about 1280.0013020820.

The spelling of 2097158400 in words is "two billion, ninety-seven million, one hundred fifty-eight thousand, four hundred".