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2199674880000 = 21635541317
BaseRepresentation
bin100000000000100110110…
…101110000000000000000
321210021202010100201200000
4200000212311300000000
5242014413232130000
64402303334400000
7314630664660243
oct40004665600000
97707663321600
102199674880000
11778971140574
122b638a800000
1312c5753cba40
14786716dd25a
153c342b30000
hex20026d70000

2199674880000 has 2040 divisors, whose sum is σ = 9389869817328. Its totient is φ = 509607936000.

The previous prime is 2199674879971. The next prime is 2199674880001. The reversal of 2199674880000 is 884769912.

It is a tau number, because it is divible by the number of its divisors (2040).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199674880001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 129392639992 + ... + 129392640008.

Almost surely, 22199674880000 is an apocalyptic number.

2199674880000 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 2199674880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4694934908664).

2199674880000 is an abundant number, since it is smaller than the sum of its proper divisors (7190194937328).

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

2199674880000 is an frugal number, since it uses more digits than its factorization.

2199674880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 2199674880000 in words is "two trillion, one hundred ninety-nine billion, six hundred seventy-four million, eight hundred eighty thousand".