2199760992 has 288 divisors, whose sum is σ = 7590675456. Its totient is φ = 595123200.

The previous prime is 2199760991. The next prime is 2199760993. The reversal of 2199760992 is 2990679912.

2199760992 is a `hidden beast` number, since 21 + 9 + 9 + 7 + 609 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2199760991) and next prime (2199760993).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199760991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1275843 + ... + 1277565.

It is an arithmetic number, because the mean of its divisors is an integer number (26356512).

Almost surely, 2^2199760992 is an apocalyptic number.

2199760992 is a gapful number since it is divisible by the number (22) 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 2199760992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795337728).

2199760992 is an abundant number, since it is smaller than the sum of its proper divisors (5390914464).

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

2199760992 is a wasteful number, since it uses less digits than its factorization.

2199760992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The square root of 2199760992 is about 46901.6096951906. The cubic root of 2199760992 is about 1300.5443463941.

The spelling of 2199760992 in words is "two billion, one hundred ninety-nine million, seven hundred sixty thousand, nine hundred ninety-two".