2992244198400 has 660 divisors, whose sum is σ = 11437591211200. Its totient is φ = 772175462400.

The previous prime is 2992244198357. The next prime is 2992244198401. The reversal of 2992244198400 is 48914422992.

It is a happy number.

2992244198400 is a `hidden beast` number, since 2 + 9 + 9 + 2 + 2 + 44 + 198 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2992244198401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64258326 + ... + 64304874.

Almost surely, 2^{2992244198400} is an apocalyptic number.

2992244198400 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 2992244198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718795605600).

2992244198400 is an abundant number, since it is smaller than the sum of its proper divisors (8445347012800).

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

2992244198400 is a wasteful number, since it uses less digits than its factorization.

2992244198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46622 (or 46590 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2992244198400 in words is "two trillion, nine hundred ninety-two billion, two hundred forty-four million, one hundred ninety-eight thousand, four hundred".