2192863680 has 504 divisors, whose sum is σ = 9011686320. Its totient is φ = 487710720.

The previous prime is 2192863637. The next prime is 2192863691. The reversal of 2192863680 is 863682912.

2192863680 is a `hidden beast` number, since 2 + 1 + 9 + 2 + 8 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×2192863680² = 9617302238126284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5785731 + ... + 5786109.

It is an arithmetic number, because the mean of its divisors is an integer number (17880330).

Almost surely, 2^2192863680 is an apocalyptic number.

2192863680 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 2192863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505843160).

2192863680 is an abundant number, since it is smaller than the sum of its proper divisors (6818822640).

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

2192863680 is a wasteful number, since it uses less digits than its factorization.

2192863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2192863680 is about 46828.0223797674. The cubic root of 2192863680 is about 1299.1836452559.

The spelling of 2192863680 in words is "two billion, one hundred ninety-two million, eight hundred sixty-three thousand, six hundred eighty".