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2009922358080 = 2635713295314969
BaseRepresentation
bin11101001111111000101…
…101010100101101000000
321010010221221111212101210
4131033320231110231000
5230412310110424310
64135202351330120
7265132515104520
oct35177055245500
97103857455353
102009922358080
1170544885531a
12285652b20940
131176c5138880
146d3d05a1680
1537439150820
hex1d3f8b54b40

2009922358080 has 896 divisors, whose sum is σ = 8278845926400. Its totient is φ = 401696096256.

The previous prime is 2009922358079. The next prime is 2009922358091. The reversal of 2009922358080 is 808532299002.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 134264836 + ... + 134279804.

It is an arithmetic number, because the mean of its divisors is an integer number (9239783400).

Almost surely, 22009922358080 is an apocalyptic number.

2009922358080 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 2009922358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139422963200).

2009922358080 is an abundant number, since it is smaller than the sum of its proper divisors (6268923568320).

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

2009922358080 is a wasteful number, since it uses less digits than its factorization.

2009922358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15091 (or 15081 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 2009922358080 in words is "two trillion, nine billion, nine hundred twenty-two million, three hundred fifty-eight thousand, eighty".