2721218198400 has 1344 divisors, whose sum is σ = 11039504259840. Its totient is φ = 658409472000.

The previous prime is 2721218198383. The next prime is 2721218198437. The reversal of 2721218198400 is 48918121272.

2721218198400 is a `hidden beast` number, since 2 + 7 + 21 + 218 + 1 + 9 + 8 + 400 = 666.

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 167 ways as a sum of consecutive naturals, for example, 1849909665 + ... + 1849911135.

It is an arithmetic number, because the mean of its divisors is an integer number (8213916860).

Almost surely, 2^{2721218198400} is an apocalyptic number.

2721218198400 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 2721218198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519752129920).

2721218198400 is an abundant number, since it is smaller than the sum of its proper divisors (8318286061440).

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

2721218198400 is a wasteful number, since it uses less digits than its factorization.

2721218198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 2721218198400 in words is "two trillion, seven hundred twenty-one billion, two hundred eighteen million, one hundred ninety-eight thousand, four hundred".