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2055296880 = 24325713219127
BaseRepresentation
bin111101010000001…
…0101011101110000
312022020101220021200
41322200111131300
513202124000010
6535540051200
7101634510120
oct17240253560
95266356250
102055296880
11965185a6a
12494393b00
13269a68700
14156d70c80
15c0686cc0
hex7a815770

2055296880 has 720 divisors, whose sum is σ = 9062277120. Its totient is φ = 407586816.

The previous prime is 2055296857. The next prime is 2055296927. The reversal of 2055296880 is 886925502.

2055296880 is a `hidden beast` number, since 2 + 0 + 552 + 96 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 16183377 + ... + 16183503.

It is an arithmetic number, because the mean of its divisors is an integer number (12586496).

Almost surely, 22055296880 is an apocalyptic number.

2055296880 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 2055296880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531138560).

2055296880 is an abundant number, since it is smaller than the sum of its proper divisors (7006980240).

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

2055296880 is a wasteful number, since it uses less digits than its factorization.

2055296880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 2055296880 is about 45335.3822086017. The cubic root of 2055296880 is about 1271.4272667820.

The spelling of 2055296880 in words is "two billion, fifty-five million, two hundred ninety-six thousand, eight hundred eighty".