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2055365280 = 253451719491
BaseRepresentation
bin111101010000010…
…0110001010100000
312022020112101010000
41322200212022200
513202133142110
6535541340000
7101635213413
oct17240461240
95266471100
102055365280
119652223a1
12494407600
13269a90897
14156d8bb7a
15c069c1c0
hex7a8262a0

2055365280 has 480 divisors, whose sum is σ = 8101114560. Its totient is φ = 487710720.

The previous prime is 2055365243. The next prime is 2055365311. The reversal of 2055365280 is 825635502.

It is a happy number.

2055365280 is a `hidden beast` number, since 20 + 553 + 6 + 5 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4185835 + ... + 4186325.

It is an arithmetic number, because the mean of its divisors is an integer number (16877322).

Almost surely, 22055365280 is an apocalyptic number.

2055365280 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 2055365280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050557280).

2055365280 is an abundant number, since it is smaller than the sum of its proper divisors (6045749280).

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

2055365280 is a wasteful number, since it uses less digits than its factorization.

2055365280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2055365280 is about 45336.1365799954. The cubic root of 2055365280 is about 1271.4413709342.

The spelling of 2055365280 in words is "two billion, fifty-five million, three hundred sixty-five thousand, two hundred eighty".