2173088400 has 240 divisors, whose sum is σ = 8087899008. Its totient is φ = 488448000.

The previous prime is 2173088371. The next prime is 2173088431. The reversal of 2173088400 is 48803712.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510280 + ... + 514520.

Almost surely, 2^2173088400 is an apocalyptic number.

2173088400 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 2173088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043949504).

2173088400 is an abundant number, since it is smaller than the sum of its proper divisors (5914810608).

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

2173088400 is a wasteful number, since it uses less digits than its factorization.

2173088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2173088400 is about 46616.3962571111. The cubic root of 2173088400 is about 1295.2664935571.

The spelling of 2173088400 in words is "two billion, one hundred seventy-three million, eighty-eight thousand, four hundred".