2193750720 has 672 divisors, whose sum is σ = 9431779968. Its totient is φ = 456523776.

The previous prime is 2193750679. The next prime is 2193750721. The reversal of 2193750720 is 270573912.

2193750720 is a `hidden beast` number, since 219 + 375 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (2193750721) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12680554 + ... + 12680726.

Almost surely, 2^2193750720 is an apocalyptic number.

2193750720 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 2193750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715889984).

2193750720 is an abundant number, since it is smaller than the sum of its proper divisors (7238029248).

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

2193750720 is a wasteful number, since it uses less digits than its factorization.

2193750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 2193750720 is about 46837.4926741387. The cubic root of 2193750720 is about 1299.3588001634.

The spelling of 2193750720 in words is "two billion, one hundred ninety-three million, seven hundred fifty thousand, seven hundred twenty".