2199407641600 has 891 divisors, whose sum is σ = 6376832448399. Its totient is φ = 751723315200.

The previous prime is 2199407641589. The next prime is 2199407641621. The reversal of 2199407641600 is 61467049912.

The square root of 2199407641600 is 1483040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 566900573184 + 1632507068416 = 752928^2 + 1277696^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 70948633585 + ... + 70948633615.

Almost surely, 2^{2199407641600} is an apocalyptic number.

2199407641600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2199407641600 is the 1483040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2199407641600

2199407641600 is an abundant number, since it is smaller than the sum of its proper divisors (4177424806799).

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

2199407641600 is a wasteful number, since it uses less digits than its factorization.

2199407641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 2199407641600 by its sum of digits (49), we get a square (107770974438400 = 10381280²).

The spelling of 2199407641600 in words is "two trillion, one hundred ninety-nine billion, four hundred seven million, six hundred forty-one thousand, six hundred".