2097571200 has 192 divisors, whose sum is σ = 6959435520. Its totient is φ = 555264000.

The previous prime is 2097571187. The next prime is 2097571213. The reversal of 2097571200 is 21757902.

It is an interprime number because it is at equal distance from previous prime (2097571187) and next prime (2097571213).

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1448877 + ... + 1450323.

It is an arithmetic number, because the mean of its divisors is an integer number (36247060).

Almost surely, 2^2097571200 is an apocalyptic number.

2097571200 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 2097571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479717760).

2097571200 is an abundant number, since it is smaller than the sum of its proper divisors (4861864320).

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

2097571200 is a wasteful number, since it uses less digits than its factorization.

2097571200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 2097571200 is about 45799.2489021381. The cubic root of 2097571200 is about 1280.0852807763.

The spelling of 2097571200 in words is "two billion, ninety-seven million, five hundred seventy-one thousand, two hundred".