2730344198400 has 1728 divisors, whose sum is σ = 12381589194240. Its totient is φ = 573308928000.

The previous prime is 2730344198359. The next prime is 2730344198473. The reversal of 2730344198400 is 48914430372.

2730344198400 is a `hidden beast` number, since 27 + 3 + 0 + 34 + 4 + 198 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6305644584 + ... + 6305645016.

Almost surely, 2^{2730344198400} is an apocalyptic number.

2730344198400 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 2730344198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190794597120).

2730344198400 is an abundant number, since it is smaller than the sum of its proper divisors (9651244995840).

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

2730344198400 is a wasteful number, since it uses less digits than its factorization.

2730344198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2730344198400 in words is "two trillion, seven hundred thirty billion, three hundred forty-four million, one hundred ninety-eight thousand, four hundred".