2192002560 has 600 divisors, whose sum is σ = 8849989368. Its totient is φ = 514252800.

The previous prime is 2192002543. The next prime is 2192002577. The reversal of 2192002560 is 652002912.

It is an interprime number because it is at equal distance from previous prime (2192002543) and next prime (2192002577).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 70709745 + ... + 70709775.

Almost surely, 2^2192002560 is an apocalyptic number.

2192002560 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 2192002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424994684).

2192002560 is an abundant number, since it is smaller than the sum of its proper divisors (6657986808).

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

2192002560 is an equidigital number, since it uses as much as digits as its factorization.

2192002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2192002560 is about 46818.8269823156. The cubic root of 2192002560 is about 1299.0135633208.

The spelling of 2192002560 in words is "two billion, one hundred ninety-two million, two thousand, five hundred sixty".