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2055594240 = 28335729293
BaseRepresentation
bin111101010000101…
…1110000100000000
312022020222000012000
41322201132010000
513202213003430
6535550304000
7101640156060
oct17241360400
95266860160
102055594240
11965369417
124944b8000
13269b40b6b
1415700b3a0
15c06e4e60
hex7a85e100

2055594240 has 576 divisors, whose sum is σ = 8653478400. Its totient is φ = 452100096.

The previous prime is 2055594239. The next prime is 2055594251. The reversal of 2055594240 is 424955502.

2055594240 is a `hidden beast` number, since 20 + 5 + 5 + 594 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 2055594195 and 2055594204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7015534 + ... + 7015826.

It is an arithmetic number, because the mean of its divisors is an integer number (15023400).

Almost surely, 22055594240 is an apocalyptic number.

2055594240 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 2055594240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4326739200).

2055594240 is an abundant number, since it is smaller than the sum of its proper divisors (6597884160).

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

2055594240 is a wasteful number, since it uses less digits than its factorization.

2055594240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 339 counting only the distinct ones).

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

The square root of 2055594240 is about 45338.6616476490. The cubic root of 2055594240 is about 1271.4885804514.

The spelling of 2055594240 in words is "two billion, fifty-five million, five hundred ninety-four thousand, two hundred forty".